This article is cited in 11 papers

Localization of the method of guiding functions in the problem about periodic solutions of differential inclusions

S. V. Kornev^a, V. V. Obukhovskii<sup>b

a</sup> Voronezh State Pedagogical University
^b Voronezh State University

Abstract: In this paper we consider the problem on the existence of forced oscillations in nonlinear objects governed by differential inclusions. We propose certain modifications of the methods of generalized and integral guiding functions.

Keywords: guiding function, differential inclusion, periodic problem, topological coincidence degree.

UDC: 517.927

Received: 10.01.2007

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:5, 19–27

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