Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems with Parameter

Abstract

This paper deals with the existence of positive solutions for a system of nonlinear singular fourth-order differential equations with a parameter $\lambda$ subject two-point boundary conditions. Our analysis relies on the Krasnoselskii fixed point theorem and under suitable conditions, we derive explicit eigenvalue intervals of $\lambda$ for the existence of at least one positive solution for the system.

Keywords

• green's function
• positive solutions
• system of differential equations
• two-point boundary value problem