PAVLAČKOVÁ, Martina. Semilinear second-order differential inclusions in abstract spaces. In EQUADIFF 15 Conference on Differential Equations and Their Applications. 2022. ISBN 978-80-280-0239-8.
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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
Original language English
Type of outcome Conference abstract
Field of Study 10102 Applied mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
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 RIV2023
Changed by Changed by: Ing. Michaela Nováková, učo 5293. Changed: 8/3/2023 08:37.
Abstract
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.
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