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

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 exp...

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Bibliographic Details
Published inJournal of mathematical sciences and modelling Vol. 2; no. 1; pp. 30 - 38
Main Authors BOUTERAA, Noureddine, BENAİCHA, Slimane, DJOURDEM, Habib
Format Journal Article
LanguageEnglish
Published Mahmut Akyigit 20.04.2019
Subjects
green's function
positive solutions
system of differential equations
two-point boundary value problem
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Summary: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.
ISSN:2636-8692
2636-8692
DOI:10.33187/jmsm.432678