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A New Approach in the Theory of Ordinary Differential Equations with Small Parameter by Kamenskii, Mikhail; Makarenkov, Oleg; Nistri, Paolo is a scholarly article available to read on EtoBox.

What is A New Approach in the Theory of Ordinary Differential Equations with Small Parameter about?

A topological degree based averaging principle has been proposed by J. Mawhin in his PhD thesis [J. Mawhin, Le Probleme des Solutions Periodiques en Mecanique non Lineaire, These de doctorat en sciences, Universite de Liege, 1969]. In the present paper we extend this result for the case when the unperturbed system is nonlinear but possesses a set of T-periodic solutions whose initial conditions constitute a boundary of some open set.

Author

Kamenskii, Mikhail; Makarenkov, Oleg; Nistri, Paolo

Published

2007

Language

EN