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Blowup for a Damped Wave Equation with Mass and General Nonlinear Memory Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-03-18 Zhendong Feng, Fei Guo, Yuequn Li
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Eigenvalue Regularity Criteria of the Three-Dimensional Micropolar Fluid Equations Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-03-15 Maria Alessandra Ragusa, Fan Wu
In this paper, we consider several improved regularity criteria to the 3D micropolar fluid equations. In particular, we prove regularity criteria that only require control of the middle eigenvalue of strain tensor in critical Besov spaces, which can be regarded as improvement and extension of results very recently obtained.
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$$K_{1,2}$$ -Isolation Number of Claw-Free Cubic Graphs Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-03-14 Yueqin Yin, Xinhui An, Baoyindureng Wu
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Existence and Location of Nodal Solutions for Quasilinear Convection–Absorption Neumann Problems Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-03-07 Abdelkrim Moussaoui, Kamel Saoudi
Existence of nodal (i.e., sign changing) solutions and constant-sign solutions for quasilinear elliptic equations involving convection–absorption terms are presented. A location principle for nodal solutions is obtained by means of constant-sign solutions whose existence is also derived. The proof is chiefly based on sub-supersolutions technique together with monotone operator theory.
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Geometric Characterizations of Symmetric Maps in the Complex Plane Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-03-05
Abstract In this paper, we establish several characterizations of planar symmetric maps, such as preserving Euclidean circles, preserving k-Apollonius circles for some \(k\in (0,\infty )\) , and preserving geometric moduli of all pairs of disjoint continua in the extended complex plane.
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Approximate Optimal Solutions for Multiobjective Optimization Problems with Infinite Constraints Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-03-04 Thanh-Hung Pham
In this paper, we use the Mordukhovich/limiting subdifferential to establish approximate optimality conditions/approximate duality theorems/approximate saddle point theorems for multiobjective optimization problems with infinite constraints. The main results obtained in this paper are new and extend some corresponding known results. Some examples are given for the illustration of our results.
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Lower Bounds on the Homology of Vietoris–Rips Complexes of Hypercube Graphs Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-03-04
Abstract We provide novel lower bounds on the Betti numbers of Vietoris–Rips complexes of hypercube graphs of all dimensions and at all scales. In more detail, let \(Q_n\) be the vertex set of \(2^n\) vertices in the n-dimensional hypercube graph, equipped with the shortest path metric. Let \(\textrm{VR}(Q_n;r)\) be its Vietoris–Rips complex at scale parameter \(r \ge 0\) , which has \(Q_n\) as its
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Improving Jensen-type Inequalities Via the Sum of the Lidstone Polynomials Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-03-04 Mario Krnić
We aim to establish refinements of the Jensen inequality for the classes of completely convex and absolutely convex functions. In the first case the refinement is expressed in terms of the alternating sum of Lidstone polynomials, while in the second case we deal with the sum of the Lidstone polynomials. As an application, more accurate power mean inequalities are derived. In particular, we obtain strengthened
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Global Attractors for the Three-Dimensional Tropical Climate Model with Damping Terms Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-29 Rongyan Mao, Hui Liu, Fahe Miao, Jie Xin
In this paper, we consider the 3D tropical climate model with damping terms in the equation of u, v and \(\theta \), respectively. Firstly, we get some uniform estimates of strong solution. Secondly, we derive the result of the continuity of the semigroup \(\{S(t)\}_{t\ge 0}\) in case of \(4\le \alpha ,\beta <5\) and \(\frac{13}{5}<\gamma <5\) via some usual inequalities. Finally, the system (1.1)
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Two Relaxed CQ Methods for the Split Feasibility Problem with Multiple Output Sets Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-27 Nguyen Thi Thu Thuy, Tran Thanh Tung
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The Relation Between the Harmonic Index and Some Coloring Parameters Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-27 Dazhi Lin
Let H(G) be the harmonic index of a graph G, which is defined as: $$\begin{aligned} H(G) = \sum _{uv \in E(G)}\frac{2}{d_{G}(u) + d_{G}(v)}. \end{aligned}$$ In this note, we define a new graph parameter \(\xi (G)\) satisfying some properties and prove that \(\xi (G) \le 2H(G)\), with equality if and only if G is a non-trivial complete graph, possibly plus some additional isolated vertices. In particular
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On the Pre-Schwarzian Norm of Certain Logharmonic Mappings Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-27 Md Firoz Ali, Sushil Pandit
We connect the pre-Schwarzian norm of logharmonic mappings to the pre-Schwarzian norm of an analytic function and establish some necessary and sufficient conditions under which locally univalent logharmonic mappings have a finite pre-Schwarzian norm. We also obtain a necessary and sufficient condition for a logharmonic function to be Bloch. Furthermore, we obtain the pre-Schwarzian norm and growth
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Proximal Subgradient Algorithm for a Class of Nonconvex Bilevel Equilibrium Problems Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-26
Abstract In this paper, we propose an algorithm for a bilevel problem of solving a monotone equilibrium problem over the solution set of a mixed equilibrium problem involving prox-convex functions in finite dimensional Euclidean space \(\mathbb R^n\) . The proposed algorithm is based on the proximal method for mixed variational inequalities by using proximal operators of prox-convex functions. The
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On Submanifolds as Riemann Solitons Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-21 Adara M. Blaga, Cihan Özgür
We provide some properties of Riemann solitons with torse-forming potential vector fields, pointing out their relation to Ricci solitons. We also study those Riemann soliton submanifolds isometrically immersed into a Riemannian manifold endowed with a torse-forming vector field, having as potential vector field its tangential component. We consider the minimal and the totally geodesic cases, too, as
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Variational Principle for Topological Pressure on Subsets of Non-autonomous Dynamical Systems Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-21 Javad Nazarian Sarkooh
This paper discusses a variational principle on subsets for topological pressure of non-autonomous dynamical systems. Let \((X, f_{1,\infty })\) be a non-autonomous dynamical system and \(\psi \) be a continuous potential on X, where (X, d) is a compact metric space and \(f_{1,\infty }=(f_n)_{n=1}^\infty \) is a sequence of continuous maps \(f_n: X\rightarrow X\). We define the Pesin–Pitskel topological
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Phase Retrieval in Quaternion Euclidean Spaces Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-19 Ming Yang, Yun-Zhang Li
Quaternion algebra is a noncommutative associative algebra. Noncommutativity limits the flexibility of computation and makes analysis related to quaternions nontrivial and challenging. Due to its applications in signal analysis and image processing, quaternionic Fourier analysis has received increasing attention in recent years. This paper addresses phase retrievability in quaternion Euclidean spaces
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Blow-up Analysis to a Quasilinear Chemotaxis System with Nonlocal Logistic Effect Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-15 Chang-Jian Wang, Jia-Yue Zhu
In this paper, we consider the following quasilinear chemotaxis system involving nonlocal effect $$\begin{aligned} \left\{ \begin{array}{ll} u_{t}=\nabla \cdot (\varphi (u)\nabla u)-\nabla \cdot (u\nabla v)+\mu u \left( 1-\int _{\Omega }u^{\alpha }\text {d}x\right) ,\ {} &{}\ \ x\in \Omega , \ t>0,\\[2.5mm] 0=\Delta v-m(t)+u,\ m(t)=\frac{1}{|\Omega |}\int _{\Omega } u(x,t)\text {d}x,\ {} &{}\ \ x\in
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A Positive Solution for a Weighted p-Laplace Equation with Hardy–Sobolev’s Critical Exponent Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-15 Abdolrahman Razani, Gustavo S. Costa, Giovany M. Figueiredo
Here, considering \(-\infty
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On Certain Determinants and Related Legendre Symbols Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-14 Han Wang, Zhi-Wei Sun
Let p be an odd prime. For \(b,c\in {\mathbb {Z}}\), we study the Legendre symbol \(\big (\frac{D_p^*(b,c)}{p}\big )\), where \(D_p^*(b,c)\) denotes the determinant of the matrix \([(i^2+bij+cj^2)^{p-3}]_{1\le i,j\le p-1}\). For example, we prove that if \(p\equiv 2\ (\mathrm{{mod}}\ 3)\) then $$\begin{aligned} D_p^*(1,1)\equiv \det \left[ \frac{1}{(i^2+ij+j^2)^2}\right] _{1\le i,j\le p-1}\equiv -x^2\
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Biharmonic Kirchhoff Type Elliptic Systems with the Singular Exponential Nonlinearities in $$\mathbb {R}^4$$ Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-14 Shengbing Deng, Nina Li, Xingliang Tian
In this paper, we study singular version of Adams–Moser–Trudinger inequality and its sharp concentration-compactness principle on the Cartesian product of second-order Sobolev spaces in \(\mathbb {R}^4\). As an application of this inequality, we establish the existence of ground state solutions to biharmonic elliptic system of Kirchhoff type and involving nonlinearities with critical singular exponential
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A Note on the Cycle Isolation Number of Graphs Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-07
Abstract A set D of vertices in a graph G is a cycle isolating set of G if \(G-N[D]\) contains no cycle. The cycle isolation number of G, denoted by \(\iota _c(G)\) , is the minimum cardinality of a cycle isolating set of G. In this paper, we prove that if G is a connected graph of size m that is not a \(C_3\) , then \(\iota _c(G) \le \frac{m+1}{5}\) , and we characterize the extremal graphs. Moreover
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Obstacle Problems for Integro-Differential Operators with Partially Vanishing Kernels Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-05 Shuai Qi, Lin Tang
In this paper, we study the obstacle problem of some convex operators, which is related to normalized p-Laplacian \(\Delta _p^s\). We prove that the graph of the regular free boundary is \(C^{1,\alpha }\) and the solution is \(C^{1,s}\) near these points. Moreover, we show that the set of regular free boundary points is relatively open.
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The Automorphism Group of Nonzero Component Graph of Vector Space Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-05 S. P. Murugan, S. Manikandan, A. Selvakumar
In this paper, we study the symmetry of the nonzero component graph \(\Gamma _n ({\mathbb {F}})\) of an n-dimensional vector space over a field \({\mathbb {F}}\). We explicitly compute the automorphism group of \(\Gamma _n ({\mathbb {F}})\) and compute stabilizers, orbits, and the determining number of \(\Gamma _n ({\mathbb {F}})\). We then characterize all the determining sets of \(\Gamma _n ({\mathbb
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Nordhaus–Gaddum-Type Results on the Connected Edge Domination Number Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-02-05 Hengzhe Li, Huayue Liu, Jianbing Liu
A connected edge dominating set of a connected graph \(G=(V,E)\) is a subset X of E such that the edge-induced subgraph G[X] is connected and each \(e\in E(G){\setminus } X\) has at least one neighbor in X. The connected edge domination number \(\gamma '_{c}(G)\) of G is the minimum cardinality of a connected edge dominating set of G. An edge dominating set X of a graph G is called a 2-edge-connected
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Schwarz Type Lemmas for Generalized Harmonic Functions Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-01-31
Abstract Let \({\alpha },{\beta }\in (-1,\infty )\) such that \({\alpha }+{\beta }>-1\) . Given two continuous functions \(g \in \mathcal {C}(\overline{{\mathbb D}})\) and \(f\in \mathcal {C}({\mathbb T})\) , we provide various Schwarz type lemmas for mappings u satisfying the inhomogeneous \(({\alpha },{\beta })\) -harmonic equation \(L_{{\alpha },{\beta }}u=g\) in \({\mathbb D}\) and \(u=f\) in \({\mathbb
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Extension Criterion to the 3D Navier–Stokes–Cahn–Hilliard equations Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-01-30
Abstract In this paper, we consider the blow-up criteria of strong solution for the Navier–Stokes–Cahn–Hilliard equations in three dimensions. In particular, we establish several extension criterion via the middle eigenvalue of the strain tensor in the framework of the anisotropic Lorentz spaces and some special Banach spaces. The proof relies on the identity for entropy growth introduced by Miller
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Dynamics of Multi-sensitive Non-autonomous Systems with Respect to a Vector Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-01-29
Abstract We introduce the concept of multi-sensitivity with respect to a vector for a non-autonomous discrete system. We prove that for a periodic non-autonomous system on the closed unit interval, sensitivity is equivalent to strong multi-sensitivity and justify that the result need not be true if the system is not periodic. In addition, we study strong multi-sensitivity and \({\mathcal {N}}\) -sensitivity
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On k-Vertex-Edge Domination of Graph Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-01-25 Debojyoti Bhattacharya, Subhabrata Paul
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Relative Tilting Classes in Extriangulated Categories Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-01-25 Dingguo Wang, Yuanhui Yu, Tiwei Zhao
In this paper, we study the relative tilting theory in extriangulated categories. We introduce the notion of relative tilting classes in an extriangulated category and then give some equivalent characterizations. On the above basis, we discuss the relations between relative homological dimensions and relative (co)resolution dimensions in the context of relative tilting classes. We also introduce the
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Conformally Invariant Metrics and Lack of Hölder Continuity Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-01-25
Abstract The modulus metric between two points in a subdomain of \(\mathbb {R}^n, n\ge 2,\) is defined in terms of moduli of curve families joining the boundary of the domain with a continuum connecting the two points. This metric is one of the conformally invariant hyperbolic-type metrics that have become a standard tool in geometric function theory. We prove that the modulus metric is not Hölder
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Bohr Radius for Pluriharmonic Mappings in Separable Complex Hilbert Spaces Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-01-25 Hidetaka Hamada, Tatsuhiro Honda
Let \(H_1\) be the Euclidean space \(\mathbb {C}^m\) or \(\ell _2\) and let \(\mathbb {B}_{H_1}\) be the unit ball of \(H_1\). In this paper, we will give new generalizations of several results related to the Bohr radius for locally univalent harmonic functions on the unit disc \(\mathbb {U}\) in \(\mathbb {C}\) to pluriharmonic mappings on \(\mathbb {B}_{H_1}\) with values in \(H_1\) which satisfy
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Dependence on the Parameter of Generalized Grötzsch Ring and Generalized Hübner Functions Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-01-23 Qi Bao, Yu-Ming Chu, Miao-Kun Wang
For \(a\in (0,1/2]\) and \(r\in (0,1)\), let \(\mu _{a}(r)\) and \(m_{a}(r)\) be the generalized Grötzsch ring function and generalized Hübner function, respectively. In this paper, the authors mainly study the dependence on the parameter a of \(\mu _a(r)\) and \(m_a(r)\), and present several properties of \(\mu _a(r)\) and \(m_a(r)\), as functions of \(a\in (0,1/2]\) for arbitrarily given \(r\in (0
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Symmetric Identities Involving Discrete Appell Sequences Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-01-22
Abstract We give an analogue of Chapman’s extension to Sun’s symmetric identities for the discrete Appell sequences.
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Group Inverses of Weighted Trees Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-01-18 Raju Nandi
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Compact Almost Automorphic Solutions to Poisson’s and Heat Equations Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-01-10 Alan Chávez, Kamal Khalil, Alejandro Pereyra, Manuel Pinto
In the present work, we revisit several structural properties of almost automorphic and compact almost automorphic functions from the Euclidean space \({\mathbb {R}}^m\) (\(m \ge 1\)) with values in a Banach space \({\mathbb {X}}\). When \({\mathbb {X}}\) is a Banach algebra, it is proven that the spaces formed by these functions are also Banach algebras. As applications, first we prove regularity
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Traveling Waves for a Sign-Changing Nonlocal Evolution Equation with Delayed Nonlocal Response Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-01-09 Juan He, Guo-Bao Zhang
This paper deals with the existence of traveling wave solutions for a nonlocal evolution equation with delayed nonlocal response and sign-changing kernel. By constructing a new pair of upper-lower solutions and applying Schauder’s fixed point theorem, we first prove that there exists a number \(c^{\#}>0\) such that when \(c>c^{\#}\), the nonlocal evolution equation admits a semi-wave solution with
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Decomposition of Toroidal Graphs Without Some Subgraphs Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-01-02 Tao Wang, Xiaojing Yang
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Real Branches and Stability of a New Transcendental Function Arising in Pharmacokinetic Modeling Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-01-03 Xiaotian Wu, Hao Zhang, Jun Li
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Bounds for the Generalization of Baer’s Type Theorems Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2024-01-03 Yasaman Taghavi, Saeed Kayvanfar
A well-known theorem of Baer states that in a given group G, the \( (n+1) \)th term of the lower central series of G is finite when the index of the nth term of the upper central series is finite. Recently, Kurdachenko and Otal proved a similar statement for this theorem when the upper hypercenter factor of a locally generalized radical group has finite special rank. In this paper, we first decrease
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Complete Moment Convergence and $$L_q$$ Convergence for AANA Random Variables Under Sub-linear Expectations Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-29 Mengmei Xi, Fei Zhang, Xuejun Wang
It is well known that sub-linear expectation space is a general extension of classical linear expectation space. In this paper, we are devoted to investigate the complete moment convergence and \(L_q\) convergence for maximal partial sums of asymptotically almost negatively associated random variables under sub-linear expectations with some general conditions, which are easy to be satisfied. The results
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Centralizer-Like Additive Maps on the Lie Structure of Banach Algebras Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-27 Hoger Ghahramani
Let \({\mathcal {U}}\) be an associative unital Banach algebra endowed with the Lie product \([x,y]=xy-yx\) (\(x,y\in {\mathcal {U}}\)) and create a Lie algebra. In this article, we are going to study the additive maps on \({\mathcal {U}}\) that act at idempotent-products such as centralizers on the Lie structure of \({\mathcal {U}}\). More precisely, we consider the subsequent condition on an additive
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$$L^2$$ Decay for the 2-D Oldroyd-B Model with Linear Damping Stress Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-27 Jiaqi Feng, Yan Jia, Min Wang
This paper is dedicated to investigating \(L^2\) time decay of the strong solution for the 2D Oldroyd-B model with linear stress tensor. Based on energy methods and new observation on the structure of the equations, we obtain the more rapid \(L^2\) decay rates of the strong solutions for the Oldroyd-B model as \(\Vert u(t)\Vert _{L^2} \le C(1+t)^{-1},\) \(\Vert \tau (t)\Vert _{L^2} \le C(1+t)^{-\frac{3}{2}}\)
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Nonconstant Steady States in a Predator–Prey System with Density-Dependent Motility Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-27 Jianping Gao, Jianghong Zhang, Wenyan Lian
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The Relaxed Stochastic Maximum Principle in Singular Optimal Control of Jump Diffusions Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-27 Hanane Ben-Gherbal, Brahim Mezerdi
This paper deals with optimal control of systems driven by stochastic differential equations (SDEs), with controlled jumps, where the control variable has two components, the first being absolutely continuous and the second singular. We study the corresponding relaxed-singular problem, in which the first part of the admissible control is a measure-valued process and the state variable is governed by
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Critical Fractional (p, q)-Kirchhoff Type Problem with a Generalized Choquard Nonlinearity and Magnetic Field Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-18 Wenjing Chen, Dongxue Feng
In this article, using variational methods, we obtain that the existence of a nontrivial solution for a fractional (p, q)-Kirchhoff type problem with a generalized Choquard nonlinearity, a critical Hardy–Sobolev term and magnetic field.
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Non-Hamiltonian Graphs with Large Minimum Degree Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-18 Lingting Fu, Liqing Gao, Jian Wang, Weihua Yang
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The Effect on the Largest Eigenvalue of Degree-Based Weighted Adjacency Matrix by Perturbations Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-12 Jing Gao, Xueliang Li, Ning Yang
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Recollements Induced by Left Frobenius Pairs Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-13 Yajun Ma, Dandan Sun, Rongmin Zhu, Jiangsheng Hu
Given a right exact functor from an abelian category into another abelian category, there is an associated abelian category called the comma category of the functor. In this paper, we characterize when left Frobenius pairs (resp. strong left Frobenius pairs) in abelian categories can induce left Frobenius pairs (resp. strong left Frobenius pairs) in their comma categories. This leads to the construction
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Existence and Asymptotic Behavior of Solutions for Generalized Choquard Systems Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-11 Dengfeng Lü, Shu-Wei Dai
This paper concerns the linearly coupled system of nonlinear generalized Choquard equations in \({\mathbb {R}}^N\): $$\begin{aligned} \left\{ \begin{array}{ll} -\Delta \varphi +\varphi =\big (A_{\theta }(x)\star G(\varphi )\big )G'(\varphi )+\kappa \psi &{}\quad \text {in}\; {\mathbb {R}}^N, \\ -\Delta \psi + \psi =\big (A_{\theta }(x)\star H(\psi )\big )H'(\psi )+\kappa \varphi &{}\quad \text {in}\;
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Characterizing $${\mathcal {P}}_{\geqslant 2}$$ -Factor Deleted Graphs with Respect to the Size or the Spectral Radius Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-11 Changlong Shen
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An Inverse Three Spectra Problem for Parameter-Dependent and Jumps Conformable Sturm–Liouville Operators Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-11 Mohammad Shahriari
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Applications of a Hypergeometric Identity and Ramanujan-like Series Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-11 Omran Kouba
The aim of this work is to present an interesting identity relating generalized hypergeometric functions. It allows us to prove many generalizations of recent results, and also to evaluate the sum of several families of Ramanujan-type series for \({1}/{\pi }\), \(\sqrt{2}/\pi \) and \(\sqrt{3}/\pi \). Also, several families of series involving the central binomial coefficients and Harmonic numbers
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On Three Submonoids of the Dihedral Inverse Monoid on a Finite Set Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-11 I. Dimitrova, V. H. Fernandes, J. Koppitz, T. M. Quinteiro
In this paper, we consider three submonoids of the dihedral inverse monoid \(\mathcal{D}\mathcal{I}_n\), namely its submonoids \(\mathcal {OPDI}_n\), \(\mathcal {MDI}_n\) and \(\mathcal {ODI}_n\) of all orientation-preserving, monotone and order-preserving transformations, respectively. For each of these three monoids, we compute the cardinality, give descriptions of Green’s relations and determine
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A Class of Zero Product Determined Banach Algebras Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-07 Jiankui Li, Shaoze Pan, Shanshan Su
The primary objective of this paper is to establish the property of zero product determinacy for the algebra \(\textrm{Alg} \mathcal {L}\), where \(\mathcal {L}\) is either a completely distributive commutative subspace lattice or a subspace lattice with two atoms. This objective is achieved by employing a technical approach that involves demonstrating the isomorphism between the multiplier algebra
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Interior Pointwise Gradient Estimates for Quasilinear Elliptic Equations in Heisenberg Group Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-07 Nguyen Ngoc Trong, Tan Duc Do, Le Xuan Truong
Let \(n \in \mathbb {N}\) and \(\mathbb {H}^n\) be the Heisenberg group of dimension \(2n+1\). Let \(\Omega \) be a bounded open subset of \(\mathbb {H}^n\) and \(p \in (1, Q)\), where Q is the homogeneous dimension of \(\mathbb {H}^n\). Within an appropriate framework, we prove an interior pointwise gradient estimate for a weak solution to the problem $$\begin{aligned} {\left\{ \begin{array}{ll} -{\text
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On Some Weighted 1-Laplacian Problem on $$ {\mathbb {R}}^N $$ with Singular Behavior at the Origin Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-07 Sami Aouaoui, Mariem Dhifet
In this work, we prove the existence of a nontrivial solution to a quasilinear elliptic problem defined on the whole Euclidean space \( {\mathbb {R}}^N,\ N \ge 2, \) and involving a weighted 1-Laplacian operator. The nonlinear term has a singular behavior at the origin. This solution is obtained through an approximation technique, which consists in considering the problem with the 1-Laplacian operator
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p-th Besicovitch Almost Periodic Solutions in Distribution for Semi-linear Non-autonomous Stochastic Evolution Equations Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-07 Xiaohui Wang, Xianlong Fu
This paper considers p-th Besicovitch almost periodic solutions in distribution for a class of semi-linear non-autonomous stochastic evolution equations in a real separable Hilbert space. The existence and stability of p-th Besicovitch almost periodic solutions in distribution are studied mainly by applying theory of evolution operator, Banach fixed point theorem and some inequality techniques. As
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Towards the Conjecture on Domination Versus Edge Domination in Graphs Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-07 Paras Maniya, Dinabandhu Pradhan
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Resonant-Superlinear and Resonant-Sublinear Dirichlet Problems Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-05 Zhenhai Liu, Nikolaos S. Papageorgiou
In this paper, we study elliptic equations in which the reaction (right hand side) exhibits an asymmetric behavior as \(x\rightarrow \pm \infty \). More precisely, we assume that we have resonance as \(x\rightarrow -\infty \), while as \(x\rightarrow +\infty \) the equation is superlinear. Using variational tools combined with the theory of critical groups, we prove several multiplicity theorems for
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Nonlinear Generalized Bi-skew Jordan n-Derivations on $$*$$ -Algebras Bull. Malays. Math. Sci. Soc. (IF 1.2) Pub Date : 2023-12-04 Mohammad Ashraf, Md Shamim Akhter, Mohammad Afajal Ansari
Let \({\mathcal {A}}\) be a \(*\)-algebra over the complex field \({\mathbb {C}}.\) For any \(T_1, T_2, \ldots , T_n \in {\mathcal {A}}\), define \(q_1(T_1)=T_1, q_2(T_1, T_2)=T_1\diamond T_2=T_1T_2^*+T_2T_1^*\) and \(q_n(T_1, T_2,\ldots , T_n)=q_{n-1}(T_1, T_2,\ldots , T_{n-1})\diamond T_n\) for all integers \(n\ge 2.\) In this article, it is shown that under certain assumptions a map \(D:{\mathcal