A discrete Gronwall–Halanay-type inequality with infinite delay and its applications to difference equations-Reference-Cited by-同舟云学术

A discrete Gronwall–Halanay-type inequality with infinite delay and its applications to difference equations

Published:2023-05-30 Issue:1 Volume:2023 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Chen Feichao,Li Desheng^ORCID

Abstract

AbstractWe establish a discrete Gronwall–Halanay-type inequality with infinite delay, which is not covered in the existing literature. As an application, a new criterion is obtained for the asymptotic stability of the zero solutions for a class of Volterra difference equations. A concrete example is also given to illustrate the efficiency of the general results.

Funder

Innovative Research Group Project of the National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13660-023-02979-1.pdf

Reference33 articles.

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