<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Exponential Stability of Integro-Differential Volterra Equation on Time Scales

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Exponential Stability of Integro-Differential Volterra Equation on Time Scales"}

We study the Volterra integro-differential equation on time scales and provide sufficient conditions for boundness of all solutions of considered equation....

Exponential Stability of Integro-Differential Volterra Equation on Time Scales

Published Online: Jun 28, 2023

Page range: 77 - 86

Received: Oct 25, 2022

DOI: https://doi.org/10.2478/tmmp-2023-0017

Keywords
time scales, exponential stability, integro-differential Volterra equation

© 2023 Urszula Ostaszewska et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Exponential Stability of Integro-Differential Volterra Equation on Time Scales

Published Online: Jun 28, 2023

Page range: 77 - 86

Received: Oct 25, 2022

DOI: https://doi.org/10.2478/tmmp-2023-0017

Keywordstime scales, exponential stability, integro-differential Volterra equation

© 2023 Urszula Ostaszewska et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
time scales, exponential stability, integro-differential Volterra equation