On the stability of perturbed Volterra integrodifferential equations

IF 0.9 4区数学 Q2 MATHEMATICS

Journal of Integral Equations and Applications Pub Date : 2020-09-01 DOI:10.1216/jie.2020.32.325

M. Hammami, Najla Hnia

引用次数: 1

Abstract

The asymptotic behavior of solutions of a class of Volterra integrodifferential equations is studied. Some new sufficient conditions are obtained in the presence of perturbation term. Our approach is based on some estimations on the solutions of the perturbed equation with respect to the solutions of the original unperturbed Volterra integrodifferential equations. We prove that the convergence of solutions to the equilibrium point can be studied provided that the perturbation term is bounded by a suitable function. The idea for this approach is based on a new integral inequality of Gronwall type.

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摄动Volterra积分微分方程的稳定性

研究了一类Volterra积分微分方程解的渐近性。得到了摄动项存在时的一些新的充分条件。我们的方法是基于摄动方程的解相对于原始未摄动Volterra积分微分方程的解的一些估计。我们证明了在扰动项以合适的函数为界的条件下，可以研究平衡点解的收敛性。该方法的思想是基于一个新的Gronwall型积分不等式。

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.