Rapid convergence of approximate solutions for singular differential systems
In this article we show the existence and approximation of solutions for a class of singular differential system with initial value condition. We present a generalized quasilinearization method for obtain monotone iterative sequences of approximate solutions converging uniformly to a solution at...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/203/abstr.html |
| _version_ | 1818039758265253888 |
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| author | Peiguang Wang Xiang Liu |
| author_facet | Peiguang Wang Xiang Liu |
| author_sort | Peiguang Wang |
| collection | DOAJ |
| description | In this article we show the existence and approximation of solutions
for a class of singular differential system with initial value condition.
We present a generalized quasilinearization method for obtain monotone
iterative sequences of approximate solutions converging uniformly
to a solution at a rate higher than quadratic. |
| first_indexed | 2024-12-10T08:03:43Z |
| format | Article |
| id | doaj.art-fbe68125db5a45f2bdfb358e38a1a13f |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-10T08:03:43Z |
| publishDate | 2015-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-fbe68125db5a45f2bdfb358e38a1a13f2022-12-22T01:56:43ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-08-012015203,112Rapid convergence of approximate solutions for singular differential systemsPeiguang Wang0Xiang Liu1 Hebei Univ., Baoding, China Hebei Univ., Baoding, China In this article we show the existence and approximation of solutions for a class of singular differential system with initial value condition. We present a generalized quasilinearization method for obtain monotone iterative sequences of approximate solutions converging uniformly to a solution at a rate higher than quadratic.http://ejde.math.txstate.edu/Volumes/2015/203/abstr.htmlSingular systemgeneralized quasilinearizationrapid convergence |
| spellingShingle | Peiguang Wang Xiang Liu Rapid convergence of approximate solutions for singular differential systems Electronic Journal of Differential Equations Singular system generalized quasilinearization rapid convergence |
| title | Rapid convergence of approximate solutions for singular differential systems |
| title_full | Rapid convergence of approximate solutions for singular differential systems |
| title_fullStr | Rapid convergence of approximate solutions for singular differential systems |
| title_full_unstemmed | Rapid convergence of approximate solutions for singular differential systems |
| title_short | Rapid convergence of approximate solutions for singular differential systems |
| title_sort | rapid convergence of approximate solutions for singular differential systems |
| topic | Singular system generalized quasilinearization rapid convergence |
| url | http://ejde.math.txstate.edu/Volumes/2015/203/abstr.html |
| work_keys_str_mv | AT peiguangwang rapidconvergenceofapproximatesolutionsforsingulardifferentialsystems AT xiangliu rapidconvergenceofapproximatesolutionsforsingulardifferentialsystems |