Characterization results for a third-order evolution equation with memory and infinite history

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-06-06 DOI:10.1016/j.jde.2025.113494

Eduardo H. Gomes Tavares , Mauricio Barbosa da Silva , Jinyun Yuan

引用次数: 0

Abstract

The characterization of certain properties related to a third-order evolution equation with memory and infinite history will be discussed in this work. It is well-known that the existence and stability of solutions for equations of this nature depend on a relation between their parameters. By exploring classical tools from the semigroup theory of linear operators and working with a more general class of memory kernels, it will be proven here that such a relation is a sufficient and necessary condition for these properties.

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具有记忆和无限历史的三阶演化方程的表征结果

本文讨论具有记忆和无限历史的三阶演化方程的某些性质。众所周知，这种性质的方程解的存在性和稳定性取决于它们的参数之间的关系。通过探索线性算子的半群理论的经典工具，并与更一般的一类存储核一起工作，这里将证明这种关系是这些性质的充要条件。

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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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics