Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite Intervals
- Resource Type
- article
- Authors
- Hairong Lian; Junfang Zhao
- Source
- Discrete Dynamics in Nature and Society, Vol 2012 (2012)
- Subject
- Mathematics
QA1-939
- Language
- English
- ISSN
- 1026-0226
1607-887X
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.