On the solvability of some discontinuous functional impulsive problems

Abstract

This paper deals with impulsive problems consisting of second order differential equation with impulsive effects depending implicitly on the solution and with rather general nonlocal boundary conditions. The arguments are based on the lower and upper solutions method and a fixed point theorem.

Keywords

• functional problems
• generalized impulsive conditions
• upper and lower solutions
• fixed point theory
• boundary value problem