Periodic solution for ϕ-Laplacian neutral differential equation

Abstract

This paper is devoted to the existence of a periodic solution for ϕ-Laplacian neutral differential equation as follows (ϕ(x(t)−cx(t−τ))′)′=f(t,x(t),x′(t)).$$\begin{array}{} (\phi(x(t)-cx(t-\tau))')'=f(t,x(t),x'(t)). \end{array}$$

Keywords

• neutral operator
• ϕ-laplacian
• periodic solution
• extension of mawhin’s continuation theorem
• 34c25
• 34k14