Positive Solutions for Nonlinear Singular Differential Systems Involving Parameter on the Half-Line
By using the upper-lower solutions method and the fixed-point theorem on cone in a special space, we study the singular boundary value problem for systems of nonlinear second-order differential equations involving two parameters on the half-line. Some results for the existence, nonexistence and mult...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/161925 |
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| _version_ | 1832564382213603328 |
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| author | Lishan Liu Ying Wang Xinan Hao Yonghong Wu |
| author_facet | Lishan Liu Ying Wang Xinan Hao Yonghong Wu |
| author_sort | Lishan Liu |
| collection | DOAJ |
| description | By using the upper-lower solutions method and the fixed-point theorem on cone in a special space, we study the singular boundary value problem for systems of nonlinear second-order differential equations involving two parameters on the half-line. Some results for the existence, nonexistence and multiplicity of positive solutions for the problem are obtained. |
| format | Article |
| id | doaj-art-0f8c578937d74fef86758d81d25acb68 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0f8c578937d74fef86758d81d25acb682025-02-03T01:11:09ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/161925161925Positive Solutions for Nonlinear Singular Differential Systems Involving Parameter on the Half-LineLishan Liu0Ying Wang1Xinan Hao2Yonghong Wu3School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, AustraliaBy using the upper-lower solutions method and the fixed-point theorem on cone in a special space, we study the singular boundary value problem for systems of nonlinear second-order differential equations involving two parameters on the half-line. Some results for the existence, nonexistence and multiplicity of positive solutions for the problem are obtained.http://dx.doi.org/10.1155/2012/161925 |
| spellingShingle | Lishan Liu Ying Wang Xinan Hao Yonghong Wu Positive Solutions for Nonlinear Singular Differential Systems Involving Parameter on the Half-Line Abstract and Applied Analysis |
| title | Positive Solutions for Nonlinear Singular Differential Systems Involving Parameter on the Half-Line |
| title_full | Positive Solutions for Nonlinear Singular Differential Systems Involving Parameter on the Half-Line |
| title_fullStr | Positive Solutions for Nonlinear Singular Differential Systems Involving Parameter on the Half-Line |
| title_full_unstemmed | Positive Solutions for Nonlinear Singular Differential Systems Involving Parameter on the Half-Line |
| title_short | Positive Solutions for Nonlinear Singular Differential Systems Involving Parameter on the Half-Line |
| title_sort | positive solutions for nonlinear singular differential systems involving parameter on the half line |
| url | http://dx.doi.org/10.1155/2012/161925 |
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