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

被引：0
|
作者：
Wang, Peiguang [1 ]
Kong, Tiantian [2 ]
机构：
[1] Hebei Univ, Coll Elect & Informat Engn, Baoding 071002, Peoples R China
[2] Hebei Univ, Coll Math & Comp Sci, Baoding 071002, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1155/2013/308413
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页数：7
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