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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:224

Article

Wang, Lijuan²  Shao, Jianying²  Meng, Hua¹  Xiao, Bing¹  Long, Fei³ 

[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

关键词: p-Laplacian;    Lienard equation;    Deviating argument;    Periodic solution;    Coincidence degree;   

DOI  :  10.1016/j.cam.2008.06.007

来源: Elsevier

【 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.

【 授权许可】

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