On nonconvex perturbations of maximal monotone differential inclusions |
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| Authors: | Alberto Bressan and Vasile Staicu |
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| Institution: | (1) SISSA, Via Beirut 4, 34014 Trieste, Italy;(2) Departamento de Matematica Universidade de Evora, Apart. 94, 7001 Evora Codex, Portugal |
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| Abstract: | The paper is concerned with the evolution inclusionx  Ax+F(t,x), whereA generates a contractive semigroup andF is a lower semicontinuous multifunction. Constructing a suitable directionally continuous selection fromF, we prove the existence of solutions on a closed domain and the connectedness of the set of trajectories. |
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| Keywords: | 47H20 34A60 54C65 |
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