样式: 排序: IF: - GO 导出 标记为已读
-
A mathematical model for evaluating the impact of nonpharmaceutical interventions on the early COVID-19 epidemic in the United Kingdom Adv. Differ. Equ. (IF 4.1) Pub Date : 2024-02-20 Hongyu Zhang, Shuanglin Jing
-
Stability analysis of fractional order breast cancer model in chemotherapy patients with cardiotoxicity by applying LADM Adv. Differ. Equ. (IF 4.1) Pub Date : 2024-02-05 Hajar Mohammadpoor, Nasrin Eghbali, Leila Sajedi, Monireh Nosrati Sahlan
-
Controllability of stochastic fractional systems involving state-dependent delay and impulsive effects Adv. Differ. Equ. (IF 4.1) Pub Date : 2024-01-30
Abstract In this paper, the controllability concept of a nonlinear fractional stochastic system involving state-dependent delay and impulsive effects is addressed by employing Caputo derivatives and Mittag-Leffler (ML) functions. Based on stochastic analysis theory, novel sufficient conditions are derived for the considered nonlinear system by utilizing Krasnoselkii’s fixed point theorem. Correspondingly
-
Study on the stability and its simulation algorithm of a nonlinear impulsive ABC-fractional coupled system with a Laplacian operator via F-contractive mapping Adv. Differ. Equ. (IF 4.1) Pub Date : 2024-01-30 Kaihong Zhao
-
Dynamical analysis of a novel fractional order SIDARTHE epidemic model of COVID-19 with the Caputo–Fabrizio(CF) derivative Adv. Differ. Equ. (IF 4.1) Pub Date : 2024-01-25 Yu Zhao, Tian-zeng Li, Rong Kang, Xi-liang He
-
Casimir preserving stochastic Lie–Poisson integrators Adv. Differ. Equ. (IF 4.1) Pub Date : 2024-01-02 Erwin Luesink, Sagy Ephrati, Paolo Cifani, Bernard Geurts
-
Random exponential attractor for a stochastic reaction-diffusion equation in $L^{2p}(D)$ Adv. Differ. Equ. (IF 4.1) Pub Date : 2024-01-02 Gang Wang, Chaozhu Hu
In this paper, we establish some sufficient conditions for the existence of a random exponential attractor for a random dynamical system in a Banach space. As an application, we consider a stochastic reaction-diffusion equation with multiplicative noise. We show that the random dynamical system \(\phi(t,\omega)\) generated by this stochastic reaction-diffusion equation is uniformly Fréchet differentiable
-
Rich dynamics of a delayed SIRS epidemic model with two-age structure and logistic growth Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-12-08 Dongxue Yan, Yu Cao
-
A central limit theorem for a classical gas Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-11-23 Hans Zessin, Suren Poghosyan
-
Reproduction number projection for the COVID-19 pandemic Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-11-22 Ryan Benjamin
-
Stability and control in a stochastic model of malaria population dynamics Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-11-15 Peter J. Witbooi, Sibaliwe Maku Vyambwera, Garth J. van Schalkwyk, Grant E. Muller
-
Conservative Fourier spectral method for a class of modified Zakharov system with high-order space fractional quantum correction Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-11-03 Tao Guo, Aiguo Xiao, Junjie Wang, Xueyang Li
-
Adaptive neural-domain refinement for solving time-dependent differential equations Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-10-25 Toni Schneidereit, Michael Breuß
-
Universal approximation property of a continuous neural network based on a nonlinear diffusion equation Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-10-25 Hirotada Honda
-
Stability and dynamics of a stochastic discrete fractional-order chaotic system with short memory Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-10-10 Jie Ran, Jixiu Qiu, Yonghui Zhou
-
Algorithms for coupled Burgers’ equations by sharing characteristic curves within BSLM Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-10-09 Soyoon Bak, Yonghyeon Jeon
-
Forward invariant set preservation in discrete dynamical systems and numerical schemes for ODEs: application in biosciences Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-09-22 Roumen Anguelov, Jean M.-S. Lubuma
-
An analytical approach to the pricing of an exchange option with default risk under a stochastic volatility model Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-08-30 Jaegi Jeon, Jeonggyu Huh, Geonwoo Kim
-
Existence results for fractional neutral functional differential equations with infinite delay and nonlocal boundary conditions Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-08-17 Madeaha Alghanmi, Shahad Alqurayqiri
In this paper, we establish sufficient criteria for ensuring the existence of solutions and uniqueness for a class of nonlinear neutral Caputo fractional differential equations supplemented with infinite delay and nonlocal boundary conditions involving fractional derivatives. The theory of infinite delay and standard fixed point theorems are employed to obtain the existence results for the given problem
-
Stability regions of discrete linear periodic systems with delayed feedback controls Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-08-16 Jong Son Shin, Rinko Miyazaki, Dohan Kim
-
On positively invariant polyhedrons for discrete-time positive linear systems Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-08-11 ChengDan Wang, HongLi Yang
-
Determining an unknown source in a time-fractional diffusion equation based on Jacobi polynomials expansion with a modified Tiknonov regularization Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-07-10 Hao-Dong Tang, Zhen-Yu Zhao, Kai Yu, Ben-Xue Gong, Xian-Zhen Jia
-
H∞ observer-based sliding mode control for uncertain discrete-time singularly perturbed systems Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-06-15 Wei Liu, Xuejie Que, Yanyan Wang
-
Infinitely many homoclinic solutions for fractional discrete Kirchhoff–Schrödinger equations Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-05-31 Chunming Ju, Giovanni Molica Bisci, Binlin Zhang
In the present paper, we consider a fractional discrete Schrödinger equation with Kirchhoff term. Through the fountain theorem and the dual fountain theorem, we obtain two different conclusions about infinitely many homoclinic solutions to this equation.
-
Axisymmetric self-similar finite-time singularity solution of the Euler equations Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-05-22 Rodrigo Cádiz, Diego Martínez-Argüello, Sergio Rica
-
On the statistical background of quantum mechanics: generalities and a concrete example Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-05-19 Martine Le Berre, Yves Pomeau
-
Time-averaging principle for G-SDEs based on Lyapunov condition Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-05-18 Gaofeng Zong
-
Some properties of branching processes with random control functions and affected by viral infectivity in random environments Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-05-15 Min Ren, Guanghui Zhang
In this paper, a model of branching processes with random control functions and affected by viral infectivity in independent and identically distributed random environments is established, and the Markov property of the model and a sufficient condition for the model to be certainly extinct under some conditions are discussed. Then, the limit properties of the model are studied. Under the normalization
-
Integrable aspects, analytic solutions and their asymptotic analysis for a discrete relativistic Toda lattice system Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-05-15 Meng-Li Qin, Xiao-Yong Wen
-
Mean-field optimal control in a multi-agent interaction model for prevention of maritime crime Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-05-10 Gianluca Orlando
We study a multi-agent system for the modeling maritime crime. The model involves three interacting populations of ships: commercial ships, pirate ships, and coast guard ships. Commercial ships follow commercial routes, are subject to traffic congestion, and are repelled by pirate ships. Pirate ships travel stochastically, are attracted by commercial ships and repelled by coast guard ships. Coast guard
-
The Lax pair structure for the spin Benjamin–Ono equation Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-05-04 Patrick Gérard
We prove that the recently introduced spin Benjamin–Ono equation admits a Lax pair and deduce a family of conservation laws that allow proving global wellposedness in all Sobolev spaces \(H^{k}\) for every integer \(k\geq 2\). We also infer an additional family of matrix-valued conservation laws of which the previous family is just the traces.
-
Existence of positive periodic solutions for a periodic predator–prey model with fear effect and general functional responses Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-05-04 Ke Guo, Wanbiao Ma
-
Newton’s second law as limit of variational problems Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-04-28 Danilo Percivale, Edoardo Mainini
We show that the solution of Cauchy problem for the classical ODE \(m \mathbf {y}''=\mathbf {f}\) can be obtained as the limit of minimizers of exponentially weighted convex variational integrals. This complements the known results about weighted inertia-energy approach to Lagrangian mechanics and hyperbolic equations.
-
Switched hyperbolic balance laws and differential algebraic equations Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-03-30 Raul Borsche, Mauro Garavello, Damla Kocoglu
Motivated by several applications, we investigate the well-posedness of a switched system composed by a system of linear hyperbolic balance laws and by a system of linear algebraic differential equations. This setting includes networks and looped systems of hyperbolic balance laws. The obtained results are globally in time, provided that the inputs have finite (but not necessarily small) total variation
-
Generalization of the bisection method and its applications in nonlinear equations Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-03-23 Ghazala Gulshan, Hüseyin Budak, Rashida Hussain, Asad Sadiq
-
The nature of properly human mathematics Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-03-22 David Ruelle
We claim that human mathematics is only a limited part of the consequences of the chosen basic axioms. Properly human mathematics varies with time but appears to have universal features which we try to analyse. In particular, the functioning of the human brain privileges concept naming and short formulations. This leads to organising mathematical knowledge structurally. We consider briefly the problem
-
A kinetic model of rotating galaxies Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-03-14 Walter A. Strauss
Although I had not previously been aware of Jean Ginibre’s work on random matrices, beginning in 1978 I became an admirer of his many papers on nonlinear waves in collaboration with Giorgio Velo. Their papers were amazingly profound and inspirational. I subsequently met Jean and Giorgio many times. I especially remember the pleasant time Jean and I spent together at a meeting in 2001 at Hokkaido University
-
The resonance fluorescence cascade of a laser-excited two-level atom Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-03-10 Serge Reynaud
-
Symmetrized fractional total variation for signal and image analysis Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-03-07 Antonio Leaci, Franco Tomarelli
-
Novel advances in high-order numerical algorithm for evaluation of the shallow water wave equations Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-03-03 Kanyuta Poochinapan, Ben Wongsaijai
-
Stabilization of hybrid stochastic systems with time-varying delay by discrete-time state feedback control Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-02-27 Wei Mao, Xiao Xiao, Liangliang Miao, Liangjian Hu
-
pth-moment stability of stochastic functional differential equations with Markovian switching and impulsive control Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-02-13 Zhao Li
In this paper, we investigate the problem of pth-moment stability of stochastic functional differential equations with Markovian switching and impulsive control via comparison principle. Employing stochastic analysis theory and an impulsive delay differential inequality, we establish a new comparison principle for stochastic functional differential equations with Markovian switching and impulsive control
-
Low regularity a priori estimate for KDNLS via the short-time Fourier restriction method Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-02-06 Nobu Kishimoto, Yoshio Tsutsumi
In this article, we consider the kinetic derivative nonlinear Schrödinger equation (KDNLS), which is a one-dimensional nonlinear Schrödinger equation with a cubic derivative nonlinear term containing the Hilbert transformation. For the Cauchy problem, both on the real line and on the circle, we apply the short-time Fourier restriction method to establish a priori estimate for small and smooth solutions
-
The inhomogeneous p-Laplacian equation with Neumann boundary conditions in the limit $p\to \infty $ Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-01-27 Leon Bungert
-
Stability of thermoelastic Timoshenko beam with suspenders and time-varying feedback Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-01-24 Soh Edwin Mukiawa, Cyril Dennis Enyi, Salim A. Messaoudi
This paper considers a one-dimensional thermoelastic Timoshenko beam system with suspenders, general weak internal damping with time varying coefficient, and time-varying delay terms. Under suitable conditions on the nonlinear terms, we prove a general stability result for the beam model, where exponential and polynomial decay are special cases. We also gave some examples to illustrate our theoretical
-
Stress-rate-type strain-limiting models for solids resulting from implicit constitutive theory Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-01-20 Emre Duman, Yasemin Şengül
-
Fractional discrete Temimi–Ansari method with singular and nonsingular operators: applications to electrical circuits Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-01-18 Aisha F. Fareed, Menna T. M. Elbarawy, Mourad S. Semary
-
My collaboration with Jean Ginibre Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-01-16 Giorgio Velo
The history of the long-standing scientific collaboration between Jean Ginibre and Giorgio Velo is presented. The most important results obtained for a number of nonlinear dispersive partial differential equations of interest in pure mathematics and applied physics are described.
-
Partial-fraction decomposition of a rational function and its application Adv. Differ. Equ. (IF 4.1) Pub Date : 2023-01-03 Jun-Ming Zhu, Qiu-Ming Luo
In this paper, by using the residue method of complex analysis, we obtain an explicit partial fraction decomposition for the general rational function \(\frac{x^{M}}{(x+1)^{\lambda}_{n}}\) (M is any nonnegative integer, λ and n are any positive integers). As applications, we deduce the corresponding algebraic identities and combinatorial identities which are the corresponding extensions of Chu’ results
-
A fast continuous time approach with time scaling for nonsmooth convex optimization Adv. Differ. Equ. (IF 4.1) Pub Date : 2022-12-16 Radu Ioan Boţ, Mikhail A. Karapetyants
-
Analysis of a stochastic predator–prey system with fear effect and Lévy noise Adv. Differ. Equ. (IF 4.1) Pub Date : 2022-12-15 Renxiu Xue, Yuanfu Shao, Minjuan Cui
-
Parameter estimation for discretized geometric fractional Brownian motions with applications in Chinese financial markets Adv. Differ. Equ. (IF 4.1) Pub Date : 2022-12-09 Lin Sun, Jianxin Chen, Xianggang Lu
-
Backward reachability approach to state-constrained stochastic optimal control problem for jump-diffusion models Adv. Differ. Equ. (IF 4.1) Pub Date : 2022-12-08 Jun Moon
In this paper, we consider the stochastic optimal control problem for jump-diffusion models with state constraints. In general, the value function of such problems is the discontinuous viscosity solution of the associated Hamilton-Jacobi-Bellman (HJB) equation since the regularity cannot be guaranteed at the boundary of the state constraint. By adapting the stochastic target theory, we obtain an equivalent
-
The mixed nonlinear Schrödinger equation on the half-line Adv. Differ. Equ. (IF 4.1) Pub Date : 2022-12-05 Guenbo Hwang
-
Convergence of second-order in time numerical discretizations for the evolution Navier-Stokes equations Adv. Differ. Equ. (IF 4.1) Pub Date : 2022-11-28 Luigi C. Berselli, Stefano Spirito
We prove the convergence of certain second-order numerical methods to weak solutions of the Navier–Stokes equations satisfying, in addition, the local energy inequality, and therefore suitable in the sense of Scheffer and Caffarelli–Kohn–Nirenberg. More precisely, we treat the space-periodic case in three space dimensions and consider a full discretization in which the classical Crank–Nicolson method
-
Quasiconsensus of fractional-order heterogeneous multiagent systems under event-triggered impulsive control method Adv. Differ. Equ. (IF 4.1) Pub Date : 2022-11-24 Conggui Huang, Fei Wang, Zhaowen Zheng
-
A computational method based on the generalized Lucas polynomials for fractional optimal control problems Adv. Differ. Equ. (IF 4.1) Pub Date : 2022-11-24 Sh. Karami, A. Fakharzadeh Jahromi, M. H. Heydari
-
Dynamical analysis in controlled globally coupled map lattices Adv. Differ. Equ. (IF 4.1) Pub Date : 2022-11-16 Yadan Yu, Wei Liang, Taiyan Jing
-
A physics-informed neural network to model COVID-19 infection and hospitalization scenarios Adv. Differ. Equ. (IF 4.1) Pub Date : 2022-10-27 Sarah Berkhahn, Matthias Ehrhardt
-
Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics Adv. Differ. Equ. (IF 4.1) Pub Date : 2022-10-23 Nunzio Dimola, Alessandro Coclite, Giuseppe Fanizza, Tiziano Politi