Existence of positive solutions for nonlinear systems of second-order differential equations with integral boundary conditions on an infinite interval in Banach spaces

Abstract

The article shows the existence of positive solutions for systems of nonlinear singular differential equations with integral boundary conditions on an infinite interval in Banach spaces. Our main tool is the Monch fixed point theorem combined with a monotone iterative technique. In addition, an explicit iterative approximation of the solution is provided.

Keywords

• Singular differential equations
• integral boundary
• cone
• ordering
• positive solution
• Monch fixed point theorem