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

Research output: Contribution to journal › Article › peer-review

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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T1 - On nonconvex perturbations of maximal monotone differential inclusions

AU - Bressan, Alberto

AU - Staicu, Vasile

PY - 1994/9

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N2 - 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.

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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UR - https://www.scopus.com/pages/publications/0009402690#tab=citedBy

U2 - 10.1007/BF01026833

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M3 - Article

AN - SCOPUS:0009402690

SN - 0927-6947

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SP - 415

EP - 437

JO - Set-Valued Analysis

JF - Set-Valued Analysis

IS - 3

ER -

On nonconvex perturbations of maximal monotone differential inclusions

Abstract

All Science Journal Classification (ASJC) codes

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