An existence theorem for a non-autonomous second order nonlocal multivalued problem.

Autor: Cardinali, Tiziana, Gentili, Serena
Předmět:
Zdroj: Studia Universitatis Babeş-Bolyai, Mathematica; Mar2017, Vol. 62 Issue 1, p101-117, 17p
Abstrakt: In this paper we prove the existence of mild solutions for a nonlocal problem governed by an abstract semilinear non-autonomous second order differential inclusion, where the non-linear part is an upper-Caratheodory semicontinuous multimap. Our existence theorem is obtained thanks to the introduction of a fundamental Cauchy operator. Finally we apply our main result to provide the controllability of a problem involving a non-autonomous wave equation. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index