Periodic solutions for a kind of Lienard equation with a deviating argument

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:228

Article

Shao, Jianying²  Wang, Lijuan²  Yu, Yuehua³  Zhou, Jinglei^1,3 

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

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

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

关键词: Lienard equation;    Deviating argument;    Periodic solution;    Existence;    Uniqueness;    Coincidence degree;   

DOI  :  10.1016/j.cam.2008.09.006

来源: Elsevier

【 摘 要 】

In this paper, the Lienard equation with a deviating argument x ''(t) +f(1)(t, x(t))x'(t) +f(2)(x(t))(x'(t))(2) + g(t, x(t - tau(t))) = p(t) is studied. By applying the coincidence degree theory, we obtain some new results on the existence and uniqueness of T-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】

Free