具有非局部记忆和Dirichlet边界的基于记忆的扩散模型中非齐次稳态的存在性

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-07-10 DOI:10.1016/j.aml.2025.109685

Qingyan Shi

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引用次数: 0

摘要

本文研究了一类非局部存储模型在Dirichlet边界条件下非齐次稳态的存在性。假定非局部核是扩散方程的格林函数。利用Crandall-Rabinowitz抽象分岔理论，证明了稳态分岔的存在性，从而保证了非齐次稳态的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence of the nonhomogeneous steady states in a memory-based diffusive model with nonlocal memory and Dirichlet boundary

In this paper, the existence of the nonhomogeneous steady states of a nonlocal memory model under Dirichlet boundary condition is investigated. The nonlocal kernel is assumed to be the Green’s function of a diffusion equation. By using the Crandall–Rabinowitz abstract bifurcation theory, the occurrence of a steady-state bifurcation is proved, which guarantees the existence of the nonhomogeneous steady states.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.