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

Year 2019, Volume: 2 Issue: 1, 30 - 38, 20.04.2019

Noureddine Bouteraa , Slimane Benaicha Habib Djourdem

https://doi.org/10.33187/jmsm.432678

Cited By: 9

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

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