Solutions to boundary-value problems for second-order impulsive differential equations at resonance

Abstract

In this paper, we investigate the existence and uniqueness of solutions to boundary-value problems for second-order impulsive differential equations at resonance. To obtain these results, we apply fixed point methods and new differential inequalities.

Keywords

• Second-order boundary-value problem
• Schaefer's theorem
• impulsive differential equations
• two-point boundary condition