An Existence Result of Positive Solutions for Fully Second-Order Boundary Value Problems
An existence result of positive solutions is obtained for the fully second-order boundary value problem -u′′(t)=f(t,u(t),u′(t)), t∈[0,1], u(0)=u(1)=0, where f:[0,1]×R+×R→R is continuous. The nonlinearity f(t,x,y) may be sign-changing and superlinear growth on x and y. Our discussion is based on t...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/287253 |
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| _version_ | 1832556496047570944 |
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| author | Yongxiang Li Yaya Shang |
| author_facet | Yongxiang Li Yaya Shang |
| author_sort | Yongxiang Li |
| collection | DOAJ |
| description | An existence result of positive solutions is obtained for the fully second-order boundary value problem -u′′(t)=f(t,u(t),u′(t)), t∈[0,1], u(0)=u(1)=0, where f:[0,1]×R+×R→R is continuous. The nonlinearity f(t,x,y) may be sign-changing and superlinear growth on x and y. Our discussion is based on the method of lower and upper solution. |
| format | Article |
| id | doaj-art-b92bd2b2ec5a4800a150d363f599a4c9 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b92bd2b2ec5a4800a150d363f599a4c92025-02-03T05:45:17ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/287253287253An Existence Result of Positive Solutions for Fully Second-Order Boundary Value ProblemsYongxiang Li0Yaya Shang1Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaAn existence result of positive solutions is obtained for the fully second-order boundary value problem -u′′(t)=f(t,u(t),u′(t)), t∈[0,1], u(0)=u(1)=0, where f:[0,1]×R+×R→R is continuous. The nonlinearity f(t,x,y) may be sign-changing and superlinear growth on x and y. Our discussion is based on the method of lower and upper solution.http://dx.doi.org/10.1155/2015/287253 |
| spellingShingle | Yongxiang Li Yaya Shang An Existence Result of Positive Solutions for Fully Second-Order Boundary Value Problems Journal of Function Spaces |
| title | An Existence Result of Positive Solutions for Fully Second-Order Boundary Value Problems |
| title_full | An Existence Result of Positive Solutions for Fully Second-Order Boundary Value Problems |
| title_fullStr | An Existence Result of Positive Solutions for Fully Second-Order Boundary Value Problems |
| title_full_unstemmed | An Existence Result of Positive Solutions for Fully Second-Order Boundary Value Problems |
| title_short | An Existence Result of Positive Solutions for Fully Second-Order Boundary Value Problems |
| title_sort | existence result of positive solutions for fully second order boundary value problems |
| url | http://dx.doi.org/10.1155/2015/287253 |
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