Positive Solutions for Fourth-Order Nonlinear Differential Equation with Integral Boundary Conditions
This paper investigates the existence and nonexistence of positive solutions for a class of fourth-order nonlinear differential equation with integral boundary conditions. The associated Green's function for the fourth-order boundary value problems is first given, and the arguments are based on...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/684962 |
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| _version_ | 1832559278079082496 |
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| author | Qi Wang Yanping Guo Yude Ji |
| author_facet | Qi Wang Yanping Guo Yude Ji |
| author_sort | Qi Wang |
| collection | DOAJ |
| description | This paper investigates the existence and nonexistence of positive solutions for a class of fourth-order nonlinear differential equation with integral boundary conditions. The associated Green's function for the fourth-order boundary value problems is first given, and the arguments are based on Krasnoselskii's fixed point theorem for operators on a cone. |
| format | Article |
| id | doaj-art-5eadf72efcf94ebb84112549c950eaff |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5eadf72efcf94ebb84112549c950eaff2025-02-03T01:30:28ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/684962684962Positive Solutions for Fourth-Order Nonlinear Differential Equation with Integral Boundary ConditionsQi Wang0Yanping Guo1Yude Ji2Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, ChinaHebei University of Science and Technology, Shijiazhuang, Hebei 050018, ChinaHebei University of Science and Technology, Shijiazhuang, Hebei 050018, ChinaThis paper investigates the existence and nonexistence of positive solutions for a class of fourth-order nonlinear differential equation with integral boundary conditions. The associated Green's function for the fourth-order boundary value problems is first given, and the arguments are based on Krasnoselskii's fixed point theorem for operators on a cone.http://dx.doi.org/10.1155/2013/684962 |
| spellingShingle | Qi Wang Yanping Guo Yude Ji Positive Solutions for Fourth-Order Nonlinear Differential Equation with Integral Boundary Conditions Discrete Dynamics in Nature and Society |
| title | Positive Solutions for Fourth-Order Nonlinear Differential Equation with Integral Boundary Conditions |
| title_full | Positive Solutions for Fourth-Order Nonlinear Differential Equation with Integral Boundary Conditions |
| title_fullStr | Positive Solutions for Fourth-Order Nonlinear Differential Equation with Integral Boundary Conditions |
| title_full_unstemmed | Positive Solutions for Fourth-Order Nonlinear Differential Equation with Integral Boundary Conditions |
| title_short | Positive Solutions for Fourth-Order Nonlinear Differential Equation with Integral Boundary Conditions |
| title_sort | positive solutions for fourth order nonlinear differential equation with integral boundary conditions |
| url | http://dx.doi.org/10.1155/2013/684962 |
| work_keys_str_mv | AT qiwang positivesolutionsforfourthordernonlineardifferentialequationwithintegralboundaryconditions AT yanpingguo positivesolutionsforfourthordernonlineardifferentialequationwithintegralboundaryconditions AT yudeji positivesolutionsforfourthordernonlineardifferentialequationwithintegralboundaryconditions |