J 2023

Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness

PAVLAČKOVÁ, Martina and Valentina TADDEI

Basic information

Original name

Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness

Authors

PAVLAČKOVÁ, Martina (203 Czech Republic, belonging to the institution) and Valentina TADDEI

Edition

Archivum Mathematicum, 2023, 0044-8753

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Czech Republic

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Organization unit

Moravian Business College Olomouc

DOI

UT WoS

000937071400010

Keywords in English

second-order differential inclusion; nonlocal conditions; Banach spaces; cosine family; approximation solvability method; mild solution

Tags

Změněno: 27/3/2024 10:25, Ing. Michaela Nováková

Abstract

V originále

We study the existence of a mild solution to the nonlocal initial value problem for semilinear second-order differential inclusions in abstract spaces. The result is obtained by combining the Kakutani fixed point theorem with the approximation solvability method and the weak topology. This combination enables getting the result without any requirements for compactness of the right-hand side or of the cosine family generated by the linear operator.