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

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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.

Keywords

Three-point boundary value problem , system of differential equations , eigenvalue problem , positive solutions , deviating arguments
  • 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.
  • Pages: 79–100
  • Date Published: 2009-08-01
  • Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal

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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.