Exponential Stability of Integro-Differential Volterra Equation on Time Scales
, e | 28 giu 2023
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Pubblicato online: 28 giu 2023
Pagine: 77 - 86
Ricevuto: 25 ott 2022
DOI: https://doi.org/10.2478/tmmp-2023-0017
Parole chiave
© 2023 Urszula Ostaszewska et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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.