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

Authors : Noureddine BOUTERAA, Slimane BENAİCHA, Habib DJOURDEM

Pages : 30-38

Doi:10.33187/jmsm.432678

View : 21 | Download : 5

Publication Date : 2019-04-20

Article Type : Research Paper

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