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Advances in Difference Equations | Vol.2010, Issue.1 | 2017-05-29 | Pages

Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with -Laplacian-Like Operators

Long Wei,Ding Hui-Sheng,Ye Guo-Rong

Abstract

We investigate the following nonlinear equations with -Laplacian-like operators : some criteria to guarantee the existence and uniqueness of periodic solutions of the above equation are given by using Mawhin's continuation theorem. Our results are new and extend some recent results due to Liu (B. Liu, Existence and uniqueness of periodic solutions for a kind of Lienard type -Laplacian equation, Nonlinear Analysis TMA, 69, 724–729, 2008).

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Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with -Laplacian-Like Operators

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Keywords

mawhins continuation nonlinear equations lienard type laplacian laplacianlike operators periodic solutions

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Long Wei,Ding Hui-Sheng,Ye Guo-Rong,.Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with -Laplacian-Like Operators. 2010 (1),.

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