Existence of solutions for second-order nonlinear impulsive boundary-value problems

Abstract

We prove the existence of solutions for a second-order nonlinear impulsive boundary-value problem by applying Schaefer's fixed point theorem. Results for periodic and anti-periodic impulsive boundary-value problems can be obtained as special cases of the results in this article.

Keywords

• Impulsive differential equations
• Schaefer's theorem
• periodic and anti-periodic boundary conditions
• existence of solutions