Quasilinearization of dynamic equations on time scales involving the sum of three functions
In this paper, we present and discuss a method of quasilinearization, coupled with the method of upper and lower solutions for the solutions of a class of two-point boundary value problem of dynamic equations on time scales concerning the sum of three functions. A monotone iterative scheme whose ele...
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| Format: | Journal Article |
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Academic Publications
2011
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| Online Access: | http://www.ijpam.eu/contents/2011-70-6/7/7.pdf http://hdl.handle.net/20.500.11937/44933 |
| _version_ | 1848757142672113664 |
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| author | Wang, P. Wu, Yong Hong |
| author_facet | Wang, P. Wu, Yong Hong |
| author_sort | Wang, P. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we present and discuss a method of quasilinearization, coupled with the method of upper and lower solutions for the solutions of a class of two-point boundary value problem of dynamic equations on time scales concerning the sum of three functions. A monotone iterative scheme whose elements converge rapidly to the unique solution of the problem is established, and the convergence is shown to be of order k + 1 (k >= 1). |
| first_indexed | 2025-11-14T09:23:24Z |
| format | Journal Article |
| id | curtin-20.500.11937-44933 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:23:24Z |
| publishDate | 2011 |
| publisher | Academic Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-449332017-03-08T13:11:36Z Quasilinearization of dynamic equations on time scales involving the sum of three functions Wang, P. Wu, Yong Hong time scales rapid convergence dynamic equations upper and lower solutions quasilinearization In this paper, we present and discuss a method of quasilinearization, coupled with the method of upper and lower solutions for the solutions of a class of two-point boundary value problem of dynamic equations on time scales concerning the sum of three functions. A monotone iterative scheme whose elements converge rapidly to the unique solution of the problem is established, and the convergence is shown to be of order k + 1 (k >= 1). 2011 Journal Article http://hdl.handle.net/20.500.11937/44933 http://www.ijpam.eu/contents/2011-70-6/7/7.pdf Academic Publications restricted |
| spellingShingle | time scales rapid convergence dynamic equations upper and lower solutions quasilinearization Wang, P. Wu, Yong Hong Quasilinearization of dynamic equations on time scales involving the sum of three functions |
| title | Quasilinearization of dynamic equations on time scales involving the sum of three functions |
| title_full | Quasilinearization of dynamic equations on time scales involving the sum of three functions |
| title_fullStr | Quasilinearization of dynamic equations on time scales involving the sum of three functions |
| title_full_unstemmed | Quasilinearization of dynamic equations on time scales involving the sum of three functions |
| title_short | Quasilinearization of dynamic equations on time scales involving the sum of three functions |
| title_sort | quasilinearization of dynamic equations on time scales involving the sum of three functions |
| topic | time scales rapid convergence dynamic equations upper and lower solutions quasilinearization |
| url | http://www.ijpam.eu/contents/2011-70-6/7/7.pdf http://hdl.handle.net/20.500.11937/44933 |