The Existence of solutions to nonlinear second order periodic boundary value problems

TL;DR

This paper investigates the existence of solutions for nonlinear second order periodic boundary value problems, providing new theoretical results under specific conditions and applying them to $\

Contribution

It introduces new existence theorems for nonlinear second order ODEs with periodic boundary conditions under half Lipschitzian conditions, extending previous work.

Findings

Established existence results for certain nonlinear second order BVPs

Applied results to $\

Demonstrated solutions for $\

Abstract

We consider existence of periodic boundary value problems of nonlinear second order ordinary differential equations. Under certain half Lipschitzian type conditions several existence results are obtained. As applications positive periodic solutions of some $\phi$-Laplacian type equations and Duffing type equations are investigated.