Solutions of implicit evolution inclusions with pseudo-monotone mappings
KeywordsImplicit differential inclusions, pseudo-monotone mappings, solution set, perturbations
AbstractExistence results are given for the implicit evolution inclusions $(Bx(t))'+A(t, x(t))\ni f(t)$ and $(Bx(t))'+A(t, x(t))-G(t, x(t))\ni f(t)$ with $B$ a bounded linear operator, $A(t,\cdot)$ a bounded, coercive and pseudo-monotone set-valued mapping and $G$ a set-valued mapping of non-monotone type. Continuity of the solution set of first inclusion with respect to $f$ is also obtained which is used to solve the second inclusion.
How to Cite
BIAN, Wenming. Solutions of implicit evolution inclusions with pseudo-monotone mappings. Topological Methods in Nonlinear Analysis [online]. 1 March 2000, T. 15, nr 1, s. 101–113. [accessed 27.1.2023].
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