Existence of periodic solutions for a fourth-order p-Laplacian equation with a deviating argument

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:230

Article

Lu, Shiping^1,2  Jin, Shan² 

[1] Nanjing Univ Informat & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China

[2] Anhui Normal Univ, Dept Math, Wuhu 54100, Anhui, Peoples R China

关键词: Periodic solution;    Continuation theorem;    Deviating argument;    p-Laplacian;   

DOI  :  10.1016/j.cam.2008.12.027

来源: Elsevier

【 摘 要 】

In this paper, we study the existence of periodic solutions for a fourth-order p-Laplacian differential equation with a deviating argument as follows: [phi(p)(u ''(t))]'' +f (u ''(t)) + g(u(t - tau(t))) = e(t). Under various assumptions, the existence of periodic solutions of the problem is obtained by applying Mawhin's continuation theorem. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

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