Positive periodic solution for I•-Laplacian Rayleigh equation with strong singularity

被引：3

作者：

Xin, Yun ^{[1
]}

Cheng, Zhibo ^{[2
,3
]}

机构：

[1] Henan Polytech Univ, Coll Comp Sci & Technol, Jiaozuo 454000, Peoples R China

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Peoples R China

[3] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

positive periodic solution; phi-Laplacian; strong singularity; Rayleigh equation; EXISTENCE;

D O I：

10.1186/s13661-016-0648-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss a kind of I center dot-Laplacian Rayleigh equation with strong singularity (phi(u'(t)))' + f (t, u'(t)) + g(u(t - tau)) = e(t). By application of the Manasevich-Mawhin continuation theorem, we obtain the existence of a positive periodic solution for this equation.

引用

页数：9

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