On nonlocal problems for semilinear second order differential inclusions without compactness

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...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Cardinali Tiziana
Duricchi Giulia
Dokumentumtípus: Folyóirat
Megjelent: 2021
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Másodrendű differenciálegyenlet
doi:10.14232/ejqtde.2021.1.66

Online Access:http://acta.bibl.u-szeged.hu/73718
Leíró adatok
Tartalmi kivonat: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.
Terjedelem/Fizikai jellemzők:32
ISSN:1417-3875