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

Abstract

Abstract 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.

Keywords

• neutral differential equations
• positive periodic solutions
• continuation theorem
• p-Laplacian
• singularity