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JOURNALS // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki // Archive

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010 Issue 3, Pages 42–57 (Mi vuu165)

This article is cited in 4 papers

MATHEMATICS

On existence of recurrent and almost periodic solutions to differential inclusion

E. A. Panasenko

Tambov State University

Abstract: There are studied the conditions of existence of recurrent and almost periodic solutions to nonautonomous differential inclusion with a parameter that changes in a compact metric space. The corresponding results for ordinary differential inclusions are derived.

Keywords: differential inclusion, recurrent and almost periodic solutions, weakly invariant set, topological dynamical system.

UDC: 517.911.5/517.938

MSC: 34A60, 37B35

Received: 01.03.2010

DOI: 10.20537/vm100306



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