Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite Intervals

We generalize the unbounded upper and lower solution method to a third-order ordinary differential equation on the half line subject to the Sturm-Liouville boundary conditions. By using such techniques and the Schäuder fixed point theorem, some criteria are presented for the existence of solutions a...

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Bibliographic Details
Published in:Discrete Dynamics in Nature and Society 2012-01, Vol.2012 (2012), p.1064-1077-074
Main Authors: Lian, Hairong, Zhao, Junfang
Format: Article
Language:English
Subjects:
Banach spaces
Boundary conditions
Boundary value problems
Criteria
Differential equations
Dynamics
Existence theorems
Fixed point theory
Infinite
Intervals
Mathematical analysis
Methods
Studies
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Summary:We generalize the unbounded upper and lower solution method to a third-order ordinary differential equation on the half line subject to the Sturm-Liouville boundary conditions. By using such techniques and the Schäuder fixed point theorem, some criteria are presented for the existence of solutions and positive ones to the problem discussed.
ISSN:1026-0226
1607-887X
DOI:10.1155/2012/357697