Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System
We study the boundary value problems of second-order singular differential equations. At first, we reduce the BVPs to initial value problems of first-order singular integrodifferential equations and then we employ the quasilinearization method in studying the IVPs and obtain two monotone iterative s...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/308413 |
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| _version_ | 1832554870103605248 |
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| author | Peiguang Wang Tiantian Kong |
| author_facet | Peiguang Wang Tiantian Kong |
| author_sort | Peiguang Wang |
| collection | DOAJ |
| description | We study the boundary value problems of second-order singular differential equations. At first, we reduce the BVPs to initial value problems of first-order singular integrodifferential equations and then we employ the quasilinearization method in studying the IVPs and obtain two monotone iterative sequences, which converge uniformly and quadratically to the unique solution of the IVPs. Finally, we get the similar result for the given BVPs. |
| format | Article |
| id | doaj-art-ecb9dfa7cf0248ee98fe6ba6cdd15397 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ecb9dfa7cf0248ee98fe6ba6cdd153972025-02-03T05:50:22ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/308413308413Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential SystemPeiguang Wang0Tiantian Kong1College of Electronic and Information Engineering, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Computer Science, Hebei University, Baoding 071002, ChinaWe study the boundary value problems of second-order singular differential equations. At first, we reduce the BVPs to initial value problems of first-order singular integrodifferential equations and then we employ the quasilinearization method in studying the IVPs and obtain two monotone iterative sequences, which converge uniformly and quadratically to the unique solution of the IVPs. Finally, we get the similar result for the given BVPs.http://dx.doi.org/10.1155/2013/308413 |
| spellingShingle | Peiguang Wang Tiantian Kong Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System Abstract and Applied Analysis |
| title | Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System |
| title_full | Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System |
| title_fullStr | Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System |
| title_full_unstemmed | Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System |
| title_short | Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System |
| title_sort | quasilinearization for the boundary value problem of second order singular differential system |
| url | http://dx.doi.org/10.1155/2013/308413 |
| work_keys_str_mv | AT peiguangwang quasilinearizationfortheboundaryvalueproblemofsecondordersingulardifferentialsystem AT tiantiankong quasilinearizationfortheboundaryvalueproblemofsecondordersingulardifferentialsystem |