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@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.
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