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

Johnny Henderson; Rodica Luca

doi:10.9734/BJMCS/2014/4509

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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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

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Johnny Henderson, Rodica Luca (2013). Positive Solutions for Systems of Singular Higher-Order Multi-Point Boundary Value Problems. Journal of Advances in Mathematics and Computer Science , 460–473. https://doi.org/10.9734/BJMCS/2014/4509

Affiliations

Johnny Henderson — Department of Mathematics, Baylor University, Waco, Texas, 76798-7328 USA.
Rodica Luca — Department of Mathematics, Gh. Asachi Technical University, Iasi 700506, Romania.

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