Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite IntervalsReport as inadecuate




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Discrete Dynamics in Nature and SocietyVolume 2012 2012, Article ID 357697, 14 pages

Research ArticleSchool of Sciences, China University of Geosciences, Beijing 100083, China

Received 20 June 2012; Accepted 31 July 2012

Academic Editor: Zengji Du

Copyright © 2012 Hairong Lian and Junfang Zhao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We generalize the unbounded upper and lower solution methodto a third-order ordinary differential equation on the half line subject to the Sturm-Liouvilleboundary conditions. By using such techniques and the Schäuder fixed point theorem, somecriteria are presented for the existence of solutions and positive ones to the problem discussed.





Author: Hairong Lian and Junfang Zhao

Source: https://www.hindawi.com/



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