A discrete Gronwall–Halanay-type inequality with infinite delay and its applications to difference equations
نویسندگان
چکیده
Abstract We establish a discrete Gronwall–Halanay-type inequality with infinite delay, which is not covered in the existing literature. As an application, new criterion obtained for asymptotic stability of zero solutions class Volterra difference equations. A concrete example also given to illustrate efficiency general results.
منابع مشابه
Semilinear functional difference equations with infinite delay
We obtain boundness and asymptotic behavior of solutions for semilinear functional difference equations with infinite delay. Applications on Volterra difference equations with infinite delay are shown.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2023
ISSN: ['1025-5834', '1029-242X']
DOI: https://doi.org/10.1186/s13660-023-02979-1