Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900398 | Transactions of A. Razmadze Mathematical Institute | 2017 | 12 Pages |
Abstract
In this work, we give sufficient conditions for the existence of a mild solution for some impulsive integro-differential equations in Banach spaces. We study the existence without assuming the Lipschitz condition on the nonlinear term f. The compactness on the C0-semigroup(T(t))tâ¥0 in a Banach space is not needed. We use Hausdorff's measure of noncompactness, resolvent operators and Darbo's fixed point Theorem to obtain the main result of this work.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Mouhamadou Alpha Diallo, Khalil Ezzinbi, Abdoulaye Séne,