Quasilinearization of dynamic equations on time scales involving the sum of three functions
| dc.contributor.author | Wang, P. | |
| dc.contributor.author | Wu, Yong Hong | |
| dc.date.accessioned | 2017-01-30T15:17:16Z | |
| dc.date.available | 2017-01-30T15:17:16Z | |
| dc.date.created | 2012-03-25T20:01:24Z | |
| dc.date.issued | 2011 | |
| dc.identifier.citation | Wang, Peiguang and Wu, Yonghong. 2011. Quasilinearization of dynamic equations on time scales involving the sum of three functions. International Journal of Pure and Applied Mathematics. 70 (6): pp. 843-854. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/44933 | |
| dc.description.abstract |
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). | |
| dc.publisher | Academic Publications | |
| dc.relation.uri | http://www.ijpam.eu/contents/2011-70-6/7/7.pdf | |
| dc.subject | time scales | |
| dc.subject | rapid convergence | |
| dc.subject | dynamic equations | |
| dc.subject | upper and lower solutions | |
| dc.subject | quasilinearization | |
| dc.title | Quasilinearization of dynamic equations on time scales involving the sum of three functions | |
| dc.type | Journal Article | |
| dcterms.source.volume | 70 | |
| dcterms.source.startPage | 843 | |
| dcterms.source.endPage | 854 | |
| dcterms.source.issn | 13118080 | |
| dcterms.source.title | International Journal of Pure and Applied Mathematics | |
| curtin.department | Department of Mathematics and Statistics | |
| curtin.accessStatus | Fulltext not available |