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Type: Artigo de periódico
Title: Improving The Averaging Theory For Computing Periodic Solutions Of The Differential Equations
Author: Llibre J.
Novaes D.D.
Abstract: For (Formula presented.) we consider differential systems of the form(Formula presented.)where (Formula presented.) and (Formula presented.) are (Formula presented.) functions, and (Formula presented.) -periodic in the first variable, being (Formula presented.) an open subset of (Formula presented.), and (Formula presented.) a small parameter. For such system, we assume that the unperturbed system x′ = F0(t, x) has a k-dimensional manifold of periodic solutions with k ≤ n. We weaken the sufficient assumptions for studying the periodic solutions of the perturbed system when (Formula presented.) is sufficiently small.
Editor: Birkhauser Verlag AG
Rights: fechado
Identifier DOI: 10.1007/s00033-014-0460-3
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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