Strong singularities of attractive and repulsive type to 2n-order neutral differential equation

Abstract

Abstract This paper is devoted to the existence of a positive periodic solution for a kind of 2n-order neutral differential equation with a singularity, where nonlinear term g(t,x) $g(t,x)$ has strong singularities of attractive and repulsive type at the origin. Our proof is based on coincidence degree theory.

Keywords

• Positive periodic solution
• p-Laplacian
• 2n-order
• Neutral operator
• Strong singularities of attractive and repulsive type