Positive periodic solutions for p -Laplacian neutral differential equations with a singularity

Boundary value problems

Zhiyan Li¹  Fanchao Kong² 

[1] Department of Mathematics and Physics, Hohai University, Changzhou, China;Department of Mathematics, Hunan Normal University, Changsha, China

关键词: neutral differential equations;    positive periodic solutions;    continuation theorem;    p-Laplacian;    singularity;   

DOI  :  10.1186/s13661-017-0790-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the positive periodic solutions of a kind of p-Laplacian neutral differential equation with a singularity. By applying the continuation theorem and some analytic techniques, we shall establish several new criteria for the existence of positive periodic solutions for the considered problem. Some recent results in the literature are generalized and improved. Three examples are given to illustrate the effectiveness of our results.

【 授权许可】

CC BY