Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with [inline-graphic not available: see fulltext]-Laplacian-Like Operators

被引：0
作者：
Hui-Sheng Ding
Guo-Rong Ye
Wei Long
机构：
[1] Jiangxi Normal University,College of Mathematics and Information Science
来源：
Advances in Difference Equations | / 2010卷
关键词：
Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Analysis; Periodic Solution;
D O I：
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摘要：
We investigate the following nonlinear equations with [inline-graphic not available: see fulltext]-Laplacian-like operators [inline-graphic not available: see fulltext]: 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 [inline-graphic not available: see fulltext]-Laplacian equation, Nonlinear Analysis TMA, 69, 724–729, 2008).
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