Exponential Stability of Integro-Differential Volterra Equation on Time Scales

Urszula Ostaszewska; Ewa Schmeidel; Małgorzata Zdanowicz

doi:10.2478/tmmp-2023-0017

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Exponential Stability of Integro-Differential Volterra Equation on Time Scales

Tatra Mountains Mathematical Publications

Volume 84 (2023): Issue 2 (June 2023)

By: Urszula Ostaszewska, Ewa Schmeidel and Małgorzata Zdanowicz

Open Access

|Jun 2023

Abstract

We study the Volterra integro-differential equation on time scales and provide sufficient conditions for boundness of all solutions of considered equation. Using that result, we present the conditions for exponential stability of considered equation. All the results proved on the general time scale include results for both integral and discrete Volterra equations.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2023-0017 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 77 - 86

Submitted on: Oct 25, 2022

Published on: Jun 28, 2023

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

time scales,

exponential stability,

integro-differential Volterra equation

Related subjects:

Mathematics,

General mathematics

© 2023 Urszula Ostaszewska, Ewa Schmeidel, Małgorzata Zdanowicz, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 84 (2023): Issue 2 (June 2023)