Stability conditions for a mixed linear Levin–Nohel integrodifferential system

IF 0.9 4区数学 Q2 MATHEMATICS

Journal of Integral Equations and Applications Pub Date : 2022-09-01 DOI:10.1216/jie.2022.34.349

M. Mesmouli, A. Ardjouni, A. Djoudi

引用次数: 1

Abstract

In this paper, we use a Banach fixed point theorem to obtain stability results of the zero solution for a mixed linear Levin-Nohel integro-differential system. To be more precise, we are concerned with the following system x′ (t)+ ∫ t t−τ(t) C (t,s)x(s)ds+B(t)x(t−h(t)) = 0, where the importance of studying this system is that, generalizes a set of results at the same time, due to Burton [6], Becker and Burton [4], Jin and Luo [10] and Dung [9], from the one dimension to the n dimension. The last system with several delays terms is discussed as well.

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混合线性Levin–Nohel积分微分系统的稳定性条件

本文利用Banach不动点定理得到了混合线性Levin-Nohel积分微分系统零解的稳定性结果。更确切地说，我们关注以下系统x′（t）+Şt t-τ（t）C（t，s）x（s）ds+B（t）x（t−h（t））=0，其中研究该系统的重要性在于，同时推广了Burton[6]、Becker和Burton[4]、Jin和Luo[10]以及Dung[9]的一组结果，从一维到n维。最后还讨论了具有几个延迟项的系统。

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 Integral Equations and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Integral Equations and Applications is an international journal devoted to research in the general area of integral equations and their applications. The Journal of Integral Equations and Applications, founded in 1988, endeavors to publish significant research papers and substantial expository/survey papers in theory, numerical analysis, and applications of various areas of integral equations, and to influence and shape developments in this field. The Editors aim at maintaining a balanced coverage between theory and applications, between existence theory and constructive approximation, and between topological/operator-theoretic methods and classical methods in all types of integral equations. The journal is expected to be an excellent source of current information in this area for mathematicians, numerical analysts, engineers, physicists, biologists and other users of integral equations in the applied mathematical sciences.