Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions
This paper investigates the existence of positive solutions for a class of singular p-Laplacian fourth-order differential equations with integral boundary conditions. By using the fixed point theory in cones, explicit range for λ and μ is derived such that for any λ and μ lie in their respective int...
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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/10.1155/2012/293734 |
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| _version_ | 1832567384019304448 |
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| author | Jiqiang Jiang Lishan Liu Yonghong Wu |
| author_facet | Jiqiang Jiang Lishan Liu Yonghong Wu |
| author_sort | Jiqiang Jiang |
| collection | DOAJ |
| description | This paper investigates the existence of positive solutions for a class of singular p-Laplacian fourth-order
differential equations with integral boundary conditions. By using the fixed point theory in cones, explicit range for λ and
μ is derived such that for any λ and μ lie in their respective interval, the existence of at least one positive
solution to the boundary value system is guaranteed. |
| format | Article |
| id | doaj-art-8aabe25a786041e9964b437181422598 |
| 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-8aabe25a786041e9964b4371814225982025-02-03T01:01:37ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/293734293734Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary ConditionsJiqiang Jiang0Lishan Liu1Yonghong Wu2School of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, AustraliaThis paper investigates the existence of positive solutions for a class of singular p-Laplacian fourth-order differential equations with integral boundary conditions. By using the fixed point theory in cones, explicit range for λ and μ is derived such that for any λ and μ lie in their respective interval, the existence of at least one positive solution to the boundary value system is guaranteed.http://dx.doi.org/10.1155/2012/293734 |
| spellingShingle | Jiqiang Jiang Lishan Liu Yonghong Wu Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions Discrete Dynamics in Nature and Society |
| title | Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions |
| title_full | Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions |
| title_fullStr | Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions |
| title_full_unstemmed | Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions |
| title_short | Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions |
| title_sort | positive solutions for p laplacian fourth order differential system with integral boundary conditions |
| url | http://dx.doi.org/10.1155/2012/293734 |
| work_keys_str_mv | AT jiqiangjiang positivesolutionsforplaplacianfourthorderdifferentialsystemwithintegralboundaryconditions AT lishanliu positivesolutionsforplaplacianfourthorderdifferentialsystemwithintegralboundaryconditions AT yonghongwu positivesolutionsforplaplacianfourthorderdifferentialsystemwithintegralboundaryconditions |