Cardinali Tiziana and Duricchi Giulia: On nonlocal problems for semilinear second order differential inclusions without compactness. (2021)
Preview |
Teljes mű
ejqtde_2021_066.pdf Download (576kB) | Preview |
Abstract
Existence of mild solutions for a nonlocal abstract problem driven by a semilinear second order differential inclusion is studied in Banach spaces in the lack of compactness both on the fundamental system generated by the linear part and on the nonlinear multivalued term. The method used for proving our existence theorems is based on the combination of a fixed point theorem and a selection theorem developed by ourselves with an approach that uses De Blasi measure of noncompactness and the weak topology. As application of our existence result we present the study of the controllability of a problem guided by a wave equation.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2021 |
| Number: | 66 |
| ISSN: | 1417-3875 |
| Number of Pages: | 32 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2021.1.66 |
| Uncontrolled Keywords: | Másodrendű differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 30-32. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 11. 09:48 |
| Last Modified: | 2021. Nov. 11. 09:48 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73718 |
Actions (login required)
 |
View Item |
