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Pg 1 - 53 (August 2015)

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Advances in Differential Equations and Control Processes

Advances in Differential Equations and Control Processes
Volume 16, Issue 1, Pages 29 - 43 (August 2015)
http://dx.doi.org/10.17654/ADECPAug2015_029_043

EXISTENCE AND ITERATION OF POSITIVE SOLUTIONS FOR A THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM

Yeping Xu

Abstract:

In this paper we apply a monotone iterative procedure to prove the existence of positive solutions for the nonlinear third-order three-point boundary value problem where are constants. We not only obtain the existence of positive solutions, but also establish iterative schemes for approximating solutions.