New positive periodic solutions to singular Rayleigh prescribed mean curvature equations

Boundary value problems

Zhiyan Li¹  Weigao Ge² 

[1] Department of Mathematics and Physics, Hohai University, Campus Changzhou, China;Department of Mathematics, Beijing Institute of Technology, Beijing, China

关键词: positive periodic solution;    Manásevich-Mawhin continuation theorem;    prescribed mean curvature Rayleigh equation;    singularity;    34K13;    34C25;   

DOI  :  10.1186/s13661-017-0794-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the existence of positive periodic solutions for the prescribed mean curvature Rayleigh equations with a singularity. Our results are based on the Manásevich-Mawhin continuation theorem. The results to be obtained here extend the existing ones in the literature. Moreover, an example is given to illustrate the applicability of our results.

【 授权许可】

CC BY