Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions
The quasilinearization method coupled with the method of upper and lower solutions is used for a class of nonlinear boundary value problems with integral boundary conditions. We obtain some less restrictive sufficient conditions under which corresponding monotone sequences converge uniformly and qua...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2010-11-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=526 |
| _version_ | 1797830694973472768 |
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| author | Li Sun Mingru Zhou Guangwa Wang |
| author_facet | Li Sun Mingru Zhou Guangwa Wang |
| author_sort | Li Sun |
| collection | DOAJ |
| description | The quasilinearization method coupled with the method of upper and lower solutions is used for a class of nonlinear boundary value problems with integral boundary conditions. We obtain some less restrictive sufficient conditions under which corresponding monotone sequences converge uniformly and quadratically to the unique solution of the problem. An example is also included to illustrate the main result. |
| first_indexed | 2024-04-09T13:40:12Z |
| format | Article |
| id | doaj.art-238f46dd88cd447bb4acda9752ec414e |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:12Z |
| publishDate | 2010-11-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-238f46dd88cd447bb4acda9752ec414e2023-05-09T07:53:00ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752010-11-0120106611410.14232/ejqtde.2010.1.66526Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditionsLi Sun0Mingru Zhou1Guangwa Wang2China University of Mining and Technology, Xuzhou, P. R. ChinaXuzhou Normal University, Xuzhou, P. R. ChinaXuzhou Normal University, Xuzhou, P. R. ChinaThe quasilinearization method coupled with the method of upper and lower solutions is used for a class of nonlinear boundary value problems with integral boundary conditions. We obtain some less restrictive sufficient conditions under which corresponding monotone sequences converge uniformly and quadratically to the unique solution of the problem. An example is also included to illustrate the main result.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=526 |
| spellingShingle | Li Sun Mingru Zhou Guangwa Wang Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions Electronic Journal of Qualitative Theory of Differential Equations |
| title | Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions |
| title_full | Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions |
| title_fullStr | Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions |
| title_full_unstemmed | Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions |
| title_short | Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions |
| title_sort | generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=526 |
| work_keys_str_mv | AT lisun generalizedquasilinearizationmethodfornonlinearboundaryvalueproblemswithintegralboundaryconditions AT mingruzhou generalizedquasilinearizationmethodfornonlinearboundaryvalueproblemswithintegralboundaryconditions AT guangwawang generalizedquasilinearizationmethodfornonlinearboundaryvalueproblemswithintegralboundaryconditions |