Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System | Zendy

Peiguang Wang | Zendy; Kong Tian-tian | Zendy

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Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System

Author(s) -

Peiguang Wang,

Kong Tian-tian

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/308413

Subject(s) - mathematics , monotone polygon , initial value problem , quadratic growth , boundary value problem , order (exchange) , ordinary differential equation , value (mathematics) , differential equation , mathematical analysis , singular solution , geometry , statistics , finance , economics

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

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