Abstract

We 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.

Details

Title
A discrete Gronwall–Halanay-type inequality with infinite delay and its applications to difference equations
Author
Chen, Feichao 1 ; Li, Desheng 2   VIAFID ORCID Logo 

1  Tianjin University of Commerce, School of Science, Tianjin, China (GRID:grid.464478.d) (ISNI:0000 0000 9729 0286); Tianjin University, School of Mathematics, Tianjin, China (GRID:grid.33763.32) (ISNI:0000 0004 1761 2484) 
2  Tianjin University, School of Mathematics, Tianjin, China (GRID:grid.33763.32) (ISNI:0000 0004 1761 2484) 
Pages
78
Publication year
2023
Publication date
Dec 2023
Publisher
Springer Nature B.V.
ISSN
10255834
e-ISSN
1029242X
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13660-023-02979-1
ProQuest document ID
2820832981
Copyright
© The Author(s) 2023. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.