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Harmonic-measure distribution functions of simply connected and doubly connected polygonal domains J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-09 A, r, u, n, m, a, r, a, n, , M, a, h, e, n, t, h, i, r, a, m
The -function encodes aspects of the behaviour of Brownian particles released from a specified fixed point inside the region. In turn, this behaviour is influenced by the shape of the region's boundary and the location of the fixed point. We compute the -functions of numerous simply connected and doubly connected polygonal regions. The Schottky–Klein prime function plays a key role in computing -functions
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The Banach–Mazur distance between isomorphic spaces of continuous functions is not always an integer J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-09 Agnieszka Gergont, Łukasz Piasecki
For over half a century, Aleksander Pełczyński's question, whether the Banach–Mazur distance between any two isomorphic spaces is an integer, has remained open; as usual, is a compact Hausdorff space and denotes the Banach space of all continuous real-valued functions on , provided with the maximum norm. We answer this question in the negative. Moreover, we prove that the Banach–Mazur distance between
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Some double series for pi and their q-analogues J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-08 Chuanan Wei, Guozhu Ruan
Encouraged by Bauer's series and Ramanujan's formulae for , we find three double series for . One of them is We also establish -analogues of the three double series in this paper.
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Well posedness of linear parabolic partial differential equations posed on a star-shaped network with local time Kirchhoff's boundary condition at the vertex J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-08 Miguel Martinez, Isaac Ohavi
The main purpose of this work is to provide an existence and uniqueness result for the solution of a linear parabolic system posed on a star-shaped network, which presents a new type of Kirchhoff's boundary transmission condition at the junction. This new type of Kirchhoff's condition - that we decide to call here - induces a dynamical behavior with respect to an external variable that may be interpreted
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Orbits of the backward shifts with limit points J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-08 Evgeny Abakumov, Arafat Abbar
We show that the bilateral backward shift on that has a projective orbit with a non-zero limit point is supercyclic. This phenomenon holds also for Γ-supercyclicity, which extends a result obtained for the first time by Chan and Seceleanu. Moreover, we show that if is a compact subset of such that its orbit under the unilateral backward shift on has a non-zero weak limit point, then is hypercyclic
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New completeness theorems on the boundary in elasticity J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-07 A, ., , C, i, a, l, d, e, a
The completeness on the boundary (in the sense of Picone) of certain systems related to the III and IV BVPs for the elasticity system is proved. The completeness is obtained in both () and uniform norms.
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Stationary distribution of periodic stochastic differential equations with Markov switching J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-07 Yongmei Cai, Yuyuan Li, Xuerong Mao
Periodic stochastic differential equations (SDEs) with Markov switching are widely applied to describe various financial and biological phenomena in the real world and hence have been receiving intensive attention. One of the essential dynamical behaviours researchers are interested in is the asymptotic stability in distribution. However, related work on periodic SDEs is quite little. This paper aims
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Controllability and stabilization of a degenerate/singular Schrödinger equation J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-07 Alhabib Moumni, Genni Fragnelli, Jawad Salhi
The aim of this paper is to prove controllability and stabilization properties for a degenerate and singular Schrödinger equation with degeneracy and singularity occurring at the boundary of the spatial domain. We first address the boundary control problem. In particular, by combining multiplier techniques and compactness-uniqueness argument, we prove direct and inverse inequalities for the associated
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Classification of the conformally flat Tchebychev affine Kähler hypersurfaces J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-07 Miaoxin Lei, Ruiwei Xu, Peibiao Zhao
Tchebychev affine Kähler hypersurfaces were investigated firstly by Xu and Li, who classified the case of dimension 2. As for the case of higher dimension, Xu-Li also proved a classification for the Tchebychev affine Kähler hypersurfaces with complete Calabi metric and nonnegative Ricci curvature. In this paper, the classification of Tchebychev affine Kähler hypersurfaces is obtained under the assumption
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Multi-breathers and higher-order rogue waves on the periodic background in a fourth-order integrable nonlinear Schrödinger equation J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-07 Yun-Chun Wei, Hai-Qiang Zhang, Wen-Xiu Ma
In this paper, we present a systematic formulation of multi-breathers and higher-order rogue wave solutions of a fourth-order nonlinear Schrödinger equation on the periodic background. First of all, we compute a complete family of elliptic solution of this higher-order equation, which can degenerate into two particular cases, i.e., the dnoidal and cnoidal solutions. By using the modified squared wavefunction
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A second-order accurate and unconditionally energy stable numerical scheme for nonlinear sine-Gordon equation J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-06 Jun Zhang, Hui Zhang, Junying Cao, Hu Chen
In this work, a second-order finite difference method is proposed to solve a nonlinear sine-Gordon equation. The constructed implicit scheme is proved to be unconditionally energy stable. A linear iteration algorithm is used to solve this nonlinear numerical scheme, and we prove that this iteration algorithm is convergent with a negligible constraint for time step. By constructing a suitable high-precision
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A Liouville-type theorem and one-dimensional symmetry of solutions for elliptic equations with general gradient nonlinearity J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-06 Yan Bai, Zexin Zhang, Zhitao Zhang
In this paper, we are concerned with the following elliptic equation involving a general gradient nonlinearity: where , either is the whole space or is the half space, , and satisfies some suitable conditions. One particular case of is with and for any . When , we establish a Bernstein estimate to prove some Liouville-type results of the equation under certain conditions on and . When , by combining
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On the fractional Musielak-Sobolev spaces in [formula omitted]: Embedding results & applications J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-06 Anouar Bahrouni, Hlel Missaoui, Hichem Ounaies
This paper deals with new continuous and compact embedding theorems for the fractional Musielak-Sobolev spaces in . As an application, using the variational methods, we obtain the existence of a nontrivial weak solution for the following Schrödinger equation where is the fractional Museilak -Laplacian, is a potential function, , and . We would like to mention that the theory of the fractional Musielak-Sobolev
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Subnormal and completely hyperexpansive completion problem for weighted shifts on directed trees J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-05 M, i, c, h, a, ł, , B, u, c, h, a, ł, a
For a given directed tree and weights attached to a subtree, the completion problem is to determine if these weights may be completed in a way to obtain a bounded weighted shift on the whole tree, which further satisfies additional conditions. In this paper we consider subnormal and completely hyperexpansive completion problem for weighted shifts on directed trees with one branching point. We develop
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Banach spaces of [formula omitted]-convergent sequences J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-05 Michael A. Rincón-Villamizar, Carlos Uzcátegui Aylwin
We study the space of all bounded sequences in a Banach space that -converges to , endowed with the sup norm, where is an ideal of subsets of . Our results contribute to the development of a structural theory for these spaces. We show that two such spaces, and , are isometric exactly when the ideals and are isomorphic. Additionally, we analyze the connection of the well-known Katětov pre-order on ideals
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On dualities of actions J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-05 H, y, u, n, , H, o, , L, e, e
We introduce the weak tracial approximate representability of a discrete group action on a unital -algebra which possibly has no projections like the Jiang-Su algebra . Then we show a duality between the weak tracial Rokhlin property and the weak tracial approximate representability. More precisely, when is a finite abelian group and is a group action on a unital simple infinite dimensional -algebra
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Existence and uniqueness for a coupled Rayleigh-Plesset/Reynolds problem with application to the noise of the articular knuckle cracking J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-05 Guy Bayada, Ionel Sorin Ciuperca
In this paper we consider some mathematical models for the evolution of cavitation bubbles in the synovial fluid of some articular knuckle which allows to explain the sounds produced by the cracking of knuckles. The models are based on a coupling between Reynolds equation for the synovial fluid and the Rayleigh-Plesset equation for the evolution of the cavitation bubbles. Existence results are given
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Destabilization of synchronous periodic solutions for patch models: A criterion by period functions J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-05 Shuang Chen, Jicai Huang
In this paper, we study the destabilization of synchronous periodic solutions for patch models. By applying perturbation theory for matrices, we derive asymptotic expressions of the Floquet spectra and provide a destabilization criterion for synchronous periodic solutions arising from closed orbits or degenerate Hopf bifurcations in terms of period functions. Finally, we apply the main results to the
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Global boundedness and asymptotic stabilization in a chemotaxis system with density-suppressed motility and nonlinear signal production J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-05 Quanyong Zhao, Zhongping Li
In this paper, we study the following chemotaxis model with density-suppressed motility and nonlinear production under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary, where and . The positive motility function satisfies and for all . It is showed that the system admits a globally bounded and classical solution under some conditions on and . Then, under stricter constraints
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On quasilinear Schrödinger–Poisson system involving Berestycki–Lions type conditions J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-05 Yao Du, Jiabao Su
In this work we study a quasilinear Schrödinger–Poisson system which is coupled by a Schrödinger equation of -Laplacian and a Poisson equation of -Laplacian, with a general nonlinear term. The nonlinearity satisfies the Berestycki–Lions type conditions. By means of variational methods, we get the existence of nontrivial solutions for the quasilinear system.
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A generalized combinatorial Ricci flow on surfaces of finite topological type J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-04 Shengyu Li, Te Ba, Yaping Xu
We introduce a generalized combinatorial Ricci flow on surfaces of finite topological type. Using a Lyapunov function, we prove that the flow exists for all time and converges to a circle pattern metric on surfaces with prescribed curvatures. This suggests an algorithm to find circle patterns on surfaces with obtuse exterior intersection angles. As a comparison, this flow has the advantage of accelerating
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Towards a change of variable formula for “hypergeometrization” J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-04 P, e, t, r, , B, l, a, s, c, h, k, e
We will study the properties of “hypergeometrization” - an operator that acts on analytic functions around the origin by inserting two Pochhammer symbols into their Taylor series. This operator basically maps elementary functions to hypergeometric ones. The main goal is to derive several “change of variables” formulas for this operator, which can then be used to derive a large number of transformations
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Dynamics of a stochastic delay predator-prey model with fear effect and diffusion for prey J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-04 Qiufen Wang, Shuwen Zhang
We establish a stochastic delay predator-prey model with fear effect and prey diffusion, and investigate the dynamic behavior of the model. Initially, we use Itô's formula to prove the existence and uniqueness of a global positive solution and the stochastic ultimate boundedness of the system. Subsequently, we provide sufficient conditions for the extinction and persistence of prey and predator, and
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Ahlfors type p-valent conditions for biharmonic functions J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-01 Xiaoyuan Wang, Saminathan Ponnusamy, Jinhua Fan
In 1973, Ahlfors established a sufficient condition for an analytic function to be univalent in the unit disk and has a quasiconformal extension. Using his result, many known conditions for univalence and quasiconformal extendibility of analytic functions in the unit disk were deduced. Interestingly, his result was generalized to the class of harmonic mappings. The main aim of this paper is to present
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Compactness property of the linearized Boltzmann collision operator for a multicomponent polyatomic gas J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-03-01 Niclas Bernhoff
The linearized Boltzmann collision operator is fundamental in many studies of the Boltzmann equation and its main properties are of substantial importance. The decomposition into a sum of a positive multiplication operator, the collision frequency, and an integral operator is trivial. Compactness of the integral operator for monatomic single species is a classical result, while corresponding results
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Unusual existence theorems for nonlocal inhomogeneous elliptic equations J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-29 B, i, a, g, i, o, , R, i, c, c, e, r, i
In this paper, we prove two unusual existence theorems for nonlocal inhomogeneous elliptic equations. A very particular case of one of them reads as follows: Let be a continuous function such that is nondecreasing for all and is not constant for some .
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Level sets of nonsmooth functions, part 1: Lipschitz and piecewise-differentiable rank theorems J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-29 Suzane M. Cavalcanti, Paul I. Barton
We present a piecewise-differentiable () Rank Theorem and extend a previously stated Lipschitz Rank Theorem, with the goal of characterizing the level sets of nonsmooth functions . When the appropriate conditions are satisfied by the generalized derivatives of , the Rank Theorems allow us to express a given level set locally as the graph of a nonsmooth function, within a homeomorphic transformation
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Family of integrable bounds for the logarithmic derivative of Kummer's function J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-29 Lukas Sablica, Kurt Hornik
In this paper we present and investigate an invertible family of lower and upper bounds for the logarithmic derivative of Kummer's function , when . The derived bounds are theoretically well-defined, asymptotically precise, numerically accurate, and easy to compute. Moreover, we extend the list of known bounds for the logarithmic derivative of Kummer's function and improve the state of the art lower
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Bifurcations and exact traveling wave solutions of the Khorbatly's geophysical Boussinesq system J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-29 Jibin Li, Maoan Han, Ai Ke
For a geophysical Boussinesq system, the corresponding traveling wave system is a planar dynamical system with a singular straight line. In this paper, by using the techniques from dynamical systems and singular traveling wave theory developed by Li and Chen , we analyze the corresponding dynamical system and find the bifurcations of phase portraits. The dynamical behaviors can also be derived. Under
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Congruences modulo powers of 5 for Ramanujan's ϕ function J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-29 Julia Q.D. Du, Dazhao Tang
In 2012, Chan proved a number of congruences with different moduli for the coefficients of Ramanujan's function. In particular, he obtained a congruence modulo 5. Chan further conjectured three congruences modulo 25 for the coefficients of Ramanujan's function. In 2019, Baruah and Begum not only confirmed three conjectural congruences due to Chan, but also established three congruences modulo 125 for
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Stabilization of hyperbolic problems with localized damping in unbounded domains J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-28 M.M. Cavalcanti, V.N. Domingos Cavalcanti, Victor H. Gonzalez Martinez, Talita Druziani Marchiori, A. Vicente
We are concerned with stability issues for hyperbolic problems in unbounded domains. We consider the Klein-Gordon equation posed in the whole N-dimensional Euclidian space and also the wave equation posed in unbounded domains with finite measure. The goal is to remove the damping at infinity. Precisely, given a positive real number , we construct a region Ξ free of damping, with finite measure, such
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Existence and properties of radial solutions to critical elliptic systems involving strongly coupled Hardy terms J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-28 Dongsheng Kang
We study a system of elliptic equations that involves strongly coupled attractive Hardy terms and critical nonlinearities. The existence of radial decreasing solutions to the system is proved and the asymptotic properties at the origin and infinity of radial decreasing solutions are described completely. It is found that two components in the radial decreasing solutions are asymptotically synchronized
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On Equilibria in Constrained Generalized Games with the Weak Continuous Inclusion Property J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-28 M. Ali Khan, Richard P. McLean, Metin Uyanik
In this paper, we present results that use Himmelberg's fixed point theorem to highlight substantive trade-offs between compactness, continuity and convexity postulates in the setting of a constrained generalized game. The primary contribution is a focus on weakening the compactness assumption on the action sets and on two versions of the continuity assumption encapsulated as the (CIP). We show that
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Splitting Appell functions in terms of single quotients of theta functions J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-28 Eric T. Mortenson, Dilshod Urazov
Ramanujan's last letter to Hardy introduced the world to mock theta functions, and the mock theta function identities found in Ramanujan's lost notebook added to their intriguing nature. For example, we find the four tenth-order mock theta functions and their six identities. The six identities themselves are of a spectacular nature and were first proved by Choi. Indeed, in their fifth and final volume
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Morse index of circular solutions for attractive central force problems on surfaces J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-28 Stefano Baranzini, Alessandro Portaluri, Ran Yang
The classical theory of attractive central force problem on the standard (flat) Euclidean plane can be generalized to surfaces by reformulating the basic underlying physical principles by means of differential geometry. Attractive central force problems on state manifolds appear quite often and in several different context ranging from nonlinear control theory to mobile robotics, thermodynamics, artificial
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The Schrödinger equation with cubic nonlinearities on the half-line in low regularity spaces J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-28 A. Alexandrou Himonas, Fangchi Yan
The initial-boundary value problem for the Schrödinger equation with cubic nonlinearities of the form is studied on the half-line. Using the Fokas solution formula for the corresponding linear forced problem linear estimates are derived with data in Sobolev spaces and forcing in Bourgain solution spaces. Then, using these linear estimates and the trilinear estimates indicated by the forcing it is shown
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A class of linearly implicit energy-preserving schemes for conservative systems J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-27 Xicui Li, Bin Wang, Xin Zou
We consider a kind of differential equations with energy conservation. Such conservative models appear for instance in quantum physics, engineering and molecular dynamics. A new class of energy-preserving schemes is constructed by the ideas of scalar auxiliary variable (SAV) and splitting, from which the nonlinearly implicit schemes have been improved to be linearly implicit. The energy conservation
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Periodic solutions for Boussinesq systems in weak-Morrey spaces J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-27 Nguyen Thi Van, Pham Truong Xuan, Tran Van Thuy
We prove the existence and polynomial stability of periodic mild solutions for Boussinesq systems in critical weak-Morrey spaces for dimension . Those systems are derived via the Boussinesq approximation and describe the movement of an incompressible viscous fluid under natural convection filling the whole space . Using certain dispersive and smoothing properties of heat semigroups on Morrey-Lorentz
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Bifurcation analysis on a river population model with varying boundary conditions J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-27 Ben Niu, Hua Zhang, Junjie Wei
A delayed reaction-diffusion-advection equation subject to constant-flux and free-flow boundary conditions is considered, which models single population dynamics in a river. At first, we show the existence of a nonconstant steady state induced by the change of constant flux value. Then by analyzing the distribution of eigenvalues, the stability of the constant and nonconstant steady states and the
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Isosceles constant in Banach spaces J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-23 Marco Baronti, Emanuele Casini, Pier Luigi Papini
The rectangular constant in Banach spaces was introduced in a paper by N. Gastinel and J.L. Joly in 1970 and has also received attention recently. To define such a constant, the notion of orthogonality, according to Birkhoff and James, is used. Here, we introduce and study a similar constant, but based on isosceles orthogonality. We indicate several properties of the new constant as a characterization
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On asymptotic properties of solutions to σ-evolution equations with general double damping J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-23 Tuan Anh Dao, Dinh Van Duong, Duc Anh Nguyen
In this paper, we would like to consider the Cauchy problem for semi-linear -evolution equations with double structural damping for any . The main purposes of the present work are to not only study the asymptotic profiles of solutions to the corresponding linear equations but also describe large-time behaviors of globally obtained solutions to the semi-linear equations. We want to emphasize that the
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Explicit bounds for the Riemann zeta function and a new zero-free region J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-23 Chiara Bellotti
We prove that for and . As a consequence, we improve the explicit zero-free region for , showing that has no zeros in the region for and asymptotically in the region for sufficiently large.
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The first nonzero eigenvalue of the (p,q)-Laplace system along the inverse mean curvature flow with forced term J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-22 Shyamal Kumar Hui, Juncheol Pyo, Apurba Saha
In this paper, we study the first nonzero eigenvalue of the -Laplace system along the inverse mean curvature flow with forced term in Euclidean space. Some monotonicity formulas for the first nonzero eigenvalue are obtained.
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Global existence for parabolic p-Laplace equations with supercritical growth in whole [formula omitted] J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-21 Claudianor O. Alves, Tahir Boudjeriou
The focus of this paper is to investigate the global existence and uniqueness of weak solutions for a class of parabolic -Laplacian equations whose nonlinearity has a supercritical growth.
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Hybrid variable exponent model for image denoising: A nonstandard high-order PDE approach with local and nonlocal coupling J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-21 Amin Boukdir, Mourad Nachaoui, Amine Laghrib
In this paper, we propose a novel hybrid model combining local and nonlocal methods for effective image denoising. The model utilizes variable exponents to achieve adaptive diffusion behavior and preserve image features. Nevertheless, the coupling structure of our proposed process, along with the spatial dependence of , poses challenges in theoretical analysis. To address this, we investigate the existence
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Slicely countably determined points in Banach spaces J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-21 Johann Langemets, Marcus Lõo, Miguel Martín, Abraham Rueda Zoca
We introduce slicely countably determined points (SCD points) of a bounded and convex subset of a Banach space which extends the notions of denting points, strongly regular points and much more. We completely characterize SCD points in the unit balls of -preduals. We study SCD points in direct sums of Banach spaces and obtain that an infinite sum of Banach spaces may have an SCD point despite the fact
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On the regularity of selections and on Minty points of generalized monotone set-valued maps J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-20 M. Bianchi, N. Hadjisavvas, R. Pini
In this paper we deal with set-valued maps defined on a Banach space , that are generalized monotone in the sense of Karamardian. Under various continuity assumptions on , we investigate the regularity of suitable selections of the set-valued map that shares with the generalized monotonicity properties. In particular, we show that for every quasimonotone set-valued map satisfying the Aubin property
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A generalized Hermite–Biehler theorem and non-Hermitian perturbations of Jacobi matrices J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-20 Rostyslav Kozhan, Mikhail Tyaglov
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Second–order discontinuous ODEs and billiard problems J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-20 Jorge Rodríguez-López, Jan Tomeček
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Slow dynamics for self-adjoint semigroups and unitary evolution groups J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-20 Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira, Genilson Santana
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Hadamard transforms and analysis on Cayley–Dickson algebras J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-19 Guangbin Ren, Xin Zhao
This article explores the innovative use of Hadamard transforms in Hermitian Clifford analysis within Cayley–Dickson algebras. The study focuses on the integration of the Hadamard matrix into these algebras, highlighting its role in establishing a crucial subgroup of the automorphism group. This involves treating each row vector of the matrix as a diagonal matrix. A key finding is the transformation
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Evolution of initial discontinuities in a particular case of two-step initial problem for the defocusing complex modified KdV equation J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-19 Jing Chen, Ao Zhou, Yushan Xue
In this paper, the complete classification of solutions of defocusing complex modified KdV equation with a particular case of two-step initial condition is investigated by the finite-gap integration approach and Whitham modulation theory. The periodic wave solution and corresponding Whitham modulation equations for zero-phase, one-phase, two-phase are found. The self-similar wave structures in each
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Hardy decomposition of first order Lipschitz functions by Clifford algebra-valued harmonic functions J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-19 Lianet De la Cruz Toranzo, Ricardo Abreu Blaya, Swanhild Bernstein
In this paper we solve the problem on finding a sectionally Clifford algebra-valued harmonic function, zero at infinity and satisfying certain boundary value condition related to higher order Lipschitz functions. Our main tool are the Hardy projections related to a singular integral operator arising in bimonogenic function theory, which turns out to be an involution operator on the first order Lipschitz
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Corrigendum to “On the number of roots for harmonic trinomials” [J. Math. Anal. Appl. 514 (2) (2022) 126313] J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-19 Gerardo Barrera, Waldemar Barrera, Juan Pablo Navarrete
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Solutions with positive components to quasilinear parabolic systems J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-19 Evelina Shamarova
We obtain sufficient conditions for the existence and uniqueness of solutions with non-negative components to general quasilinear parabolic problems Here, is either a bounded domain or ; in the latter case, we disregard the boundary condition. We apply our results to study the existence and asymptotic behavior of componentwise non-negative solutions to the Lotka-Volterra competition model with diffusion
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An operator version of the Korovkin theorem revisited J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-19 A, b, d, e, r, r, a, o, u, f, , D, o, r, a, i
Let be a compact Hausdorff space. We prove that if is a positive linear operator such that and for all then is exactly the weighted composition operator defined by for every .
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Well lacunary series and modular forms of weight one J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-19 Shi-Chao Chen
A series is lacunary if the set of for which has density 1. We say is well lacunary if is lacunary and assumes every integer value infinitely often. A well-known theorem of Deligne and Serre states that each modular form of weight one is lacunary. In this paper, we show that each modular form of weight one is well lacunary provided that certain special values can be attained. We also construct a family
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The initial value problem of coupled Aw-Rascle traffic model with Chaplygin pressure J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-15 Lijun Pan, Shasha Weng, Dexia Zhang
This paper studies the initial value problem of coupled Aw-Rascle (CAR) traffic model with Chaplygin pressure. A definition of weak solution to CAR model is developed to obtain the waves with phase transition. Combining the waves of Aw-Rascle traffic model, we construct the solutions to the Riemann problem of CAR model with Chaplygin pressure. Without imposing additional coupling conditions, we obtain
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Solutions of Weinstein type equations, Carleson measures and BMO(R+,dmλ) J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-15 Qingdong Guo, Jorge J. Betancor, Dongyong Yang
Let . Consider the following Weinstein type equation where is the Bessel operator on . In this paper, the authors first establish an -Carleson characterization of via the Poisson semigroup associated with , where . Based on this result, the authors further show that a function is the Poisson integral of a function if and only if satisfies the Weinstein type equation and the -Carleson type condition
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Biases among classes of rank-crank partitions (mod 11) J. Math. Anal. Appl. (IF 1.3) Pub Date : 2024-02-15 Kathrin Bringmann, Badri Vishal Pandey
In this paper, we prove inequalities for ranks, cranks, and partitions among different classes modulo 11. These were conjectured by Borozenets.