The method of generalized quasilinearization for singular perturbation problem

被引：0
|
作者：
Kamar, ARAE [1 ]
机构：
[1] Mansoura Univ, Fac Engn, Dept Math & Phys Sci, Mansoura, Egypt
来源：
DYNAMIC SYSTEMS AND APPLICATIONS | 2002年 / 11卷 / 02期
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we extend the method of generalized quasilinearization to the singular perturbation problem. We construct, under suitable conditions, monotone sequences of lower and upper approximate solutions which converge uniformly and quadratically to the unique solution of the singular perturbation problem.
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页码：167 / 178
页数：12
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