Periodic solutions of Liénard–Mathieu differential equation with a small parameter-Reference-Cited by-同舟云学术

Periodic solutions of Liénard–Mathieu differential equation with a small parameter

Published:2017-03-01 Issue:1 Volume:24 Page:81-95
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:
Short-container-title:

Author:

Kalas Josef¹

Affiliation:

1. 1Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37 Brno, Czech Republic

Abstract

AbstractThe Liénard–Mathieu equation with a small parameter ε is examined. The existence of periodic and quasiperiodic solutions is proved using the averaging method, the method of complexification and the phase space analysis of an associated autonomous equation. The results extend and generalize those of Kalas and Kadeřábek [6].

Funder

Grantová Agentura České Republiky

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/gmj/24/1/article-p81.xml

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