Existence and uniqueness of positive periodic solution for ϕ -Laplacian Liénard equation

Boundary value problems

Yun Xin¹  Zhibo Cheng²  Xuefeng Han² 

[1] College of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, China;School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China

关键词: positive periodic solution;    ϕ-Laplacian;    uniqueness;    Liénard equation;   

DOI  :  10.1186/s13661-014-0244-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By applying the Manásevich-Mawhin continuation theorem, we establish some sufficient conditions for the existence and uniqueness of positive periodic solutions for the Liénard type ϕ-Laplacian operator equation. MSC: 34K13, 34C25.

【 授权许可】

CC BY