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

Hairong Lian and Junfang Zhao

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-14

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:357697

DOI: 10.1155/2012/357697

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