a 2022

Semilinear second-order differential inclusions in abstract spaces

PAVLAČKOVÁ, Martina

Basic information

Original name

Semilinear second-order differential inclusions in abstract spaces

Authors

PAVLAČKOVÁ, Martina (203 Czech Republic, guarantor, belonging to the institution)

Edition

EQUADIFF 15 Conference on Differential Equations and Their Applications, 2022

Other information

Language

English

Type of outcome

Konferenční abstrakt

Field of Study

10102 Applied mathematics

Country of publisher

Czech Republic

Confidentiality degree

není předmětem státního či obchodního tajemství

Organization unit

Moravian Business College Olomouc

ISBN

978-80-280-0239-8

Keywords in English

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

Tags

Změněno: 8/3/2023 08:37, Ing. Michaela Nováková

Abstract

V originále

We study the existence of a mild solution to the Cauchy problem for semilinear second-order differential inclusions in abstract spaces in the case when the right-hand side depends also on the first derivative. The results are obtained by combining the Kakutani fixed point theorem with the approximation solvability method and the weak topology. This combination enables getting the results without any requirements for compactness of the right-hand side.