We analyze the stability of the zero solution to Volterra equations on time scales with respect to two classes of bounded perturbations. We obtain sufficient conditions on the kernel which include some known results for continuous and for discrete equations. In order to check the applicability of these conditions, we apply the theory to a test example.
Stability analysis of linear Volterra equations on time scales under bounded perturbations / Messina, Eleonora; Vecchio, Antonia. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - 59:(2016), pp. 6-11. [10.1016/j.aml.2016.02.020]
Stability analysis of linear Volterra equations on time scales under bounded perturbations
MESSINA, ELEONORA;
2016
Abstract
We analyze the stability of the zero solution to Volterra equations on time scales with respect to two classes of bounded perturbations. We obtain sufficient conditions on the kernel which include some known results for continuous and for discrete equations. In order to check the applicability of these conditions, we apply the theory to a test example.File in questo prodotto:
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