Nonnegative solutions for a system of impulsive BVPs with nonlinear nonlocal BCs

Abstract

We study the existence of nonnegative solutions for a system of impulsive differential equations subject to nonlinear, nonlocal boundary conditions. The system presents a coupling in the differential equation and in the boundary conditions. The main tool that we use is the theory of fixed point index for compact maps.

Keywords

• fixed point index
• cone
• impulsive equation
• system
• positive solution