Positive Solutions for Systems of Three-point Nonlinear Boundary Value Problems with Deviating Arguments

J. Henderson; S.K. Ntouyas; I.K. Purnaras

Positive Solutions for Systems of Three-point Nonlinear Boundary Value Problems with Deviating Arguments

Authors

J. Henderson Department of Mathematics, Baylor University, Waco, Texas 76798-7328, USA.
S.K. Ntouyas Department of Mathematics, University of Ioannina, 451 10, Ioannina, Greece.
I.K. Purnaras Department of Mathematics, University of Ioannina, 451 10, Ioannina, Greece.

Keywords:

Three-point boundary value problem, system of differential equations, eigenvalue problem, positive solutions, deviating arguments

Abstract

Existence of eigenvalues yielding positive solutions for a system of two second order delay differential equations along with boundary conditons is established. The results are obtained by the use of a Guo-Krasnoselskii fixed point theorem in cones.

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Published

2009-08-01

How to Cite

[1]

J. Henderson, S. Ntouyas, and I. Purnaras, “Positive Solutions for Systems of Three-point Nonlinear Boundary Value Problems with Deviating Arguments”, CUBO, vol. 11, no. 3, pp. 79–100, Aug. 2009.