非局部一阶线性微分方程的通解

IF 1.9 3区数学 Q1 MATHEMATICS

Qualitative Theory of Dynamical Systems Pub Date : 2024-04-28 DOI:10.1007/s12346-024-01036-6

Wen-Xiu Ma

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引用次数: 0

摘要

本文旨在构建一阶非局部线性微分方程（均质或非均质）的一般解及其稳定性分析。其成功之处在于将函数分解为偶数部分和奇数部分，这为非局部方程提供了一种创新方法。我们的分析还展示了非局部模型中出现的一种不寻常的求解现象。

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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General Solution to a Nonlocal Linear Differential Equation of First-Order

The aim of this paper is to construct the general solution to a nonlocal linear differential equation of first-order, either homogeneous or inhomogeneous, together with its stability analysis. The success lies in decomposing functions into their even and odd parts, which presents an innovative approach to nonlocal equations. Our analysis also exhibits an unusual solution phenomenon occurring in nonlocal models.

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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.