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
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
Keywords in English
second-order differential inclusion; Banach spaces; cosine family; approximation solvability method; mild solution
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.
Displayed: 19/11/2024 07:09