Periodic solutions for Lienard type p-Laplacian equation with two deviating arguments

被引：0

作者：

Wang, Lijuan ^{[2
]}

Shao, Jianying ^{[2
]}

Meng, Hua ^{[1
]}

Xiao, Bing ^{[1
]}

Long, Fei ^{[3
]}

机构：

[1] Hunan Univ Arts & Sci, Dept Math, Changde 415000, Hunan, Peoples R China

[2] Jiaxing Univ, Coll Math & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

[3] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 224卷 / 02期

关键词：

p-Laplacian; Lienard equation; Deviating argument; Periodic solution; Coincidence degree; DIFFERENTIAL-EQUATION; KIND;

D O I：

10.1016/j.cam.2008.06.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Lienard type p-Laplacian equation with two deviating arguments (phi(p)(x'(t)))' + f(x(t))x'(t) + g(1)(t.x(t - tau(1)(t))) + g(2)(t.x(t - tau(2)(t))) = e(t) is studied. By applying the coincidence degree theory, we obtain some new results oil the existence of periodic solutions to this equation. Our results improve and extend some existing ones in the literature. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：751 / 758

页数：8

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