In this paper we consider Volterra integral equations on time scales and describe our study about the long time behavior of their solutions. We provide sufficient conditions for the stability under constant perturbations by using the direct Lyapunov method and we present some examples of application.
Volterra integral equations on time scales: stability under constant perturbations via Liapunov direct method / Messina, Eleonora; Russo, Elvira; Vecchio, Antonia. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - 64:2(2015), pp. 345-355. [10.1007/s11587-015-0243-y]
Volterra integral equations on time scales: stability under constant perturbations via Liapunov direct method
MESSINA, ELEONORA;RUSSO, ELVIRA;
2015
Abstract
In this paper we consider Volterra integral equations on time scales and describe our study about the long time behavior of their solutions. We provide sufficient conditions for the stability under constant perturbations by using the direct Lyapunov method and we present some examples of application.File in questo prodotto:
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