Exponential stability of integro-differential Volterra equation on time scales

Urszula Ostaszewska, Ewa Schmeidel, Malgorzata Zdanowicz


We study Volterra integro-differential equation on time scales and provide sufficient conditions for boudness 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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DOI: https://doi.org/10.2478/10.2478/tmmp-2023-0017