Semilinear second-order differential inclusions in abstract spaces

@proceedings{349615,
   author = {Pavlačková, Martina},
   booktitle = {EQUADIFF 15 Conference on Differential Equations and Their Applications},
   keywords = {second-order differential inclusion; Banach spaces; cosine family; approximation solvability method; mild solution},
   language = {eng},
   isbn = {978-80-280-0239-8},
   title = {Semilinear second-order differential inclusions in abstract spaces},
   year = {2022}
}

TY  - CONF
ID  - 349615
AU  - Pavlačková, Martina
PY  - 2022
TI  - Semilinear second-order differential inclusions in abstract spaces
SN  - 9788028002398
KW  - second-order differential inclusion
KW  - Banach spaces
KW  - cosine family
KW  - approximation solvability method
KW  - mild solution
N2  - 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.
ER  - 

PAVLAČKOVÁ, Martina. Semilinear second-order differential inclusions in abstract spaces. In \textit{EQUADIFF 15 Conference on Differential Equations and Their Applications}. 2022. ISBN~978-80-280-0239-8.