Solvability of Three-Point Boundary Value Problems at Resonance with a p-Laplacian on Finite and Infinite Intervals
Three-point boundary value problems of second-order differential equation with a p-Laplacian on finite and infinite intervals are investigated in this paper. By using a new continuation theorem, sufficient conditions are given, under the resonance conditions, to guarantee the existence of solutions...
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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/10.1155/2012/658010 |
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| _version_ | 1832551919465267200 |
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| author | Hairong Lian Patricia J. Y. Wong Shu Yang |
| author_facet | Hairong Lian Patricia J. Y. Wong Shu Yang |
| author_sort | Hairong Lian |
| collection | DOAJ |
| description | Three-point boundary value problems of second-order differential equation with a p-Laplacian on finite and infinite intervals are investigated in this paper. By using a new continuation theorem, sufficient conditions are given, under the resonance conditions, to guarantee the existence of solutions to such boundary value problems with the nonlinear term involving in the first-order derivative explicitly. |
| format | Article |
| id | doaj-art-f906b41fd6004a2080a35e0eea04cb49 |
| 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-f906b41fd6004a2080a35e0eea04cb492025-02-03T06:00:17ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/658010658010Solvability of Three-Point Boundary Value Problems at Resonance with a p-Laplacian on Finite and Infinite IntervalsHairong Lian0Patricia J. Y. Wong1Shu Yang2School of Sciences, China University of Geosciences, Beijing 100083, ChinaSchool of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, 639798, SingaporeDepartment of Foundation, North China Institute of Science and Technology, Beijing 101601, ChinaThree-point boundary value problems of second-order differential equation with a p-Laplacian on finite and infinite intervals are investigated in this paper. By using a new continuation theorem, sufficient conditions are given, under the resonance conditions, to guarantee the existence of solutions to such boundary value problems with the nonlinear term involving in the first-order derivative explicitly.http://dx.doi.org/10.1155/2012/658010 |
| spellingShingle | Hairong Lian Patricia J. Y. Wong Shu Yang Solvability of Three-Point Boundary Value Problems at Resonance with a p-Laplacian on Finite and Infinite Intervals Abstract and Applied Analysis |
| title | Solvability of Three-Point Boundary Value Problems at Resonance with a p-Laplacian on Finite and Infinite Intervals |
| title_full | Solvability of Three-Point Boundary Value Problems at Resonance with a p-Laplacian on Finite and Infinite Intervals |
| title_fullStr | Solvability of Three-Point Boundary Value Problems at Resonance with a p-Laplacian on Finite and Infinite Intervals |
| title_full_unstemmed | Solvability of Three-Point Boundary Value Problems at Resonance with a p-Laplacian on Finite and Infinite Intervals |
| title_short | Solvability of Three-Point Boundary Value Problems at Resonance with a p-Laplacian on Finite and Infinite Intervals |
| title_sort | solvability of three point boundary value problems at resonance with a p laplacian on finite and infinite intervals |
| url | http://dx.doi.org/10.1155/2012/658010 |
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