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- W1497867855 abstract "We consider a class of abstract nonlinear evolutionary inclusions of first order with a multivalued Clarke subgradient term. We use a surjectivity result for pseudomonotone multivalued operators in order to prove existence and uniqueness of solutions. Next, we use the Banach fixed point theorem and establish the unique solvability to evolutionary inclusion with history-dependent operators. We apply this result to second order evolutionary inclusions governed by two history-dependent operators, which depend on the solution and its time derivative, respectively. Finally, we specify existence and uniqueness results for nonlinear first and second order hemivariational inequalities with or without history-dependent operators." @default.
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- W1497867855 date "2015-01-01" @default.
- W1497867855 modified "2023-10-17" @default.
- W1497867855 title "Evolutionary Inclusions and Hemivariational Inequalities" @default.
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- W1497867855 doi "https://doi.org/10.1007/978-3-319-14490-0_2" @default.
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