On nonconvex perturbations of maximal monotone differential inclusions

Alberto Bressan, Vasile Staicu

Research output: Contribution to journalArticle

14 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)415-437
Number of pages23
JournalSet-Valued Analysis
Volume2
Issue number3
DOIs
StatePublished - Sep 1 1994

Fingerprint

Evolution Inclusion
Continuous Selection
Lower Semicontinuous
Connectedness
Differential Inclusions
Existence of Solutions
Monotone
Semigroup
Trajectories
Trajectory
Perturbation
Closed

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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On nonconvex perturbations of maximal monotone differential inclusions. / Bressan, Alberto; Staicu, Vasile.

In: Set-Valued Analysis, Vol. 2, No. 3, 01.09.1994, p. 415-437.

Research output: Contribution to journalArticle

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