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Research Article Open access CC BY 3.0

Positive Solutions for Systems of Singular Higher-Order Multi-Point Boundary Value Problems

Johnny Henderson, Rodica Luca

Journal of Advances in Mathematics and Computer Science · pp. 460–473 · Published 16 Nov 2013

10.9734/BJMCS/2014/4509

Abstract

We study the existence of positive solutions of a system of higher-order nonlinear differential equations subject to multi-point boundary conditions, where the nonlinearities do not possess any sublinear or superlinear growth conditions and may be singular. In the proof of the main results, we use the Guo-Krasnosel'skii fixed point theorem.

Higher-order differential system singular equations multi-point boundary conditions positive solutions.

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Cited by 5

Bibliography

· Boundary Value Problems for Systems of Differential, Difference and Fractional Equations · 2016

Systems of higher-order ordinary differential equations with multipoint boundary conditions

Johnny Henderson, Rodica Luca · Boundary Value Problems for Systems of Differential, Difference and Fractional Equations · 2016

Showing 2 of 5 known citations — external sources report more than can currently be individually listed.

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