Stability and asymptotic stability analysis for nonlinear functional differential–algebraic equations

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-07-10 DOI:10.1016/j.aml.2025.109682

Haodong Li, Hongliang Liu, Shoufu Li

引用次数: 0

Abstract

This paper is devoted to studying stability and asymptotic stability theories of analytical solutions for nonlinear functional differential–algebraic equations, and the sufficiency conditions of these theories are given, which facilitates the study of the stability and asymptotic stability of their numerical methods.

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非线性泛函微分-代数方程的稳定性及渐近稳定性分析

本文研究了非线性泛函微分-代数方程解析解的稳定性和渐近稳定性理论，给出了这些理论的充分性条件，为研究其数值方法的稳定性和渐近稳定性提供了便利。

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

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.