Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales
We study the existence of positive solutions for a class of m-point boundary value problems on time scales. Our approach is based on the monotone iterative technique and the cone expansion and compression fixed point theorem of norm type. Without the assumption of the existence of lower and upper so...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/618413 |
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| _version_ | 1832549013622095872 |
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| author | Yanbin Sang |
| author_facet | Yanbin Sang |
| author_sort | Yanbin Sang |
| collection | DOAJ |
| description | We study the existence of positive solutions for a class of m-point boundary value problems on time scales. Our approach is based on the monotone iterative technique and
the cone expansion and compression fixed point theorem of norm type. Without the assumption of the existence of lower and upper solutions, we do not only obtain the existence of positive solutions of the problem, but also establish the iterative schemes for approximating the solutions. |
| format | Article |
| id | doaj-art-2b111c2378e0471484a852e8a09fe9d0 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-2b111c2378e0471484a852e8a09fe9d02025-02-03T06:12:23ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/618413618413Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time ScalesYanbin Sang0Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, ChinaWe study the existence of positive solutions for a class of m-point boundary value problems on time scales. Our approach is based on the monotone iterative technique and the cone expansion and compression fixed point theorem of norm type. Without the assumption of the existence of lower and upper solutions, we do not only obtain the existence of positive solutions of the problem, but also establish the iterative schemes for approximating the solutions.http://dx.doi.org/10.1155/2009/618413 |
| spellingShingle | Yanbin Sang Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales Discrete Dynamics in Nature and Society |
| title | Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales |
| title_full | Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales |
| title_fullStr | Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales |
| title_full_unstemmed | Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales |
| title_short | Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales |
| title_sort | successive iteration and positive solutions for nonlinear m point boundary value problems on time scales |
| url | http://dx.doi.org/10.1155/2009/618413 |
| work_keys_str_mv | AT yanbinsang successiveiterationandpositivesolutionsfornonlinearmpointboundaryvalueproblemsontimescales |