- Journal of Mathematical Sciences and Modelling
- Vol: 2 Issue: 1
- Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems with Parameter
Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems with Parameter
Authors : Noureddine Bouteraa, Slimane Benaicha, Habib Djourdem
Pages : 30-38
Doi:10.33187/jmsm.432678
View : 20 | Download : 3
Publication Date : 2019-04-20
Article Type : Research
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