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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/357697 |
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| _version_ | 1832549949206691840 |
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| author | Hairong Lian Junfang Zhao |
| author_facet | Hairong Lian Junfang Zhao |
| author_sort | Hairong Lian |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8a4d6ec183c441a583b93336d1c46039 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8a4d6ec183c441a583b93336d1c460392025-02-03T06:08:10ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/357697357697Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite IntervalsHairong Lian0Junfang Zhao1School of Sciences, China University of Geosciences, Beijing 100083, ChinaSchool of Sciences, China University of Geosciences, Beijing 100083, ChinaWe 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.http://dx.doi.org/10.1155/2012/357697 |
| spellingShingle | Hairong Lian Junfang Zhao Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite Intervals Discrete Dynamics in Nature and Society |
| title | Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite Intervals |
| title_full | Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite Intervals |
| title_fullStr | Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite Intervals |
| title_full_unstemmed | Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite Intervals |
| title_short | Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite Intervals |
| title_sort | existence of unbounded solutions for a third order boundary value problem on infinite intervals |
| url | http://dx.doi.org/10.1155/2012/357697 |
| work_keys_str_mv | AT haironglian existenceofunboundedsolutionsforathirdorderboundaryvalueproblemoninfiniteintervals AT junfangzhao existenceofunboundedsolutionsforathirdorderboundaryvalueproblemoninfiniteintervals |