On nonconvex perturbations of maximal monotone differential inclusions

Alberto Bressan; Vasile Staicu

doi:10.1007/BF01026833

On nonconvex perturbations of maximal monotone differential inclusions

Alberto Bressan, Vasile Staicu

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15 Scopus citations

Abstract

The paper is concerned with the evolution inclusion x′∈Ax+F(t,x), where A generates a contractive semigroup and F is a lower semicontinuous multifunction. Constructing a suitable directionally continuous selection from F, we prove the existence of solutions on a closed domain and the connectedness of the set of trajectories.

Original language	English (US)
Pages (from-to)	415-437
Number of pages	23
Journal	Set-Valued Analysis
Volume	2
Issue number	3
DOIs	https://doi.org/10.1007/BF01026833
State	Published - Sep 1994

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1007/BF01026833

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title = "On nonconvex perturbations of maximal monotone differential inclusions",

abstract = "The paper is concerned with the evolution inclusion x′∈Ax+F(t,x), where A generates a contractive semigroup and F is a lower semicontinuous multifunction. Constructing a suitable directionally continuous selection from F, we prove the existence of solutions on a closed domain and the connectedness of the set of trajectories.",

author = "Alberto Bressan and Vasile Staicu",

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AU - Staicu, Vasile

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AB - The paper is concerned with the evolution inclusion x′∈Ax+F(t,x), where A generates a contractive semigroup and F is a lower semicontinuous multifunction. Constructing a suitable directionally continuous selection from F, we prove the existence of solutions on a closed domain and the connectedness of the set of trajectories.

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On nonconvex perturbations of maximal monotone differential inclusions

Abstract

All Science Journal Classification (ASJC) codes

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