Asymptotic behavior of solutions of Volterra integro-differential equations with and without retardation

IF 0.9 4区数学 Q2 MATHEMATICS

Journal of Integral Equations and Applications Pub Date : 2021-10-01 DOI:10.1216/jie.2021.33.289

J. Graef, O. Tunç

引用次数: 5

Abstract

Asymptotic stability, uniform stability, integrability, and boundedness of solutions of Volterra integro-differential equations with and without constant retardation are investigated using a new type of Lyapunov-Krasovskii functionals. An advantage of the new functionals used here is that they eliminate using Gronwall’s inequality. Compared to related results in the literature, the conditions here are more general, simple, and convenient to apply. Examples to show the application of the theorems are included.

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有滞后和无滞后Volterra积分微分方程解的渐近性质

利用一类新的Lyapunov-Krasovskii泛函，研究了具有和不具有常滞差的Volterra积分微分方程解的渐近稳定性、一致稳定性、可积性和有界性。这里使用的新函数的一个优点是它们消除了使用Gronwall不等式。与文献的相关结果相比，这里的条件更一般、简单、便于应用。给出了一些例子来说明这些定理的应用。

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.