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奇摄动Picard和Neumann问题解的估计
引用本文:张祥. 奇摄动Picard和Neumann问题解的估计[J]. 安徽师范大学学报(自然科学版), 1994, 17(1): 17-22
作者姓名:张祥
摘    要:本文讨论奇摄动Picard问题和Neumann问题。在适当的假设下,利用微分不等式理论,直接给出所述问题的解的存在性及其解和解的导数的估计。从而,提供了研究奇摄动问题解的导数估计的一种方法

关 键 词:皮卡问题 诺伊曼问题 奇摄动

The Estimaions of Solutions for the Singularly Perturbed Picard and Neumann Problems
Zhang Xiang. The Estimaions of Solutions for the Singularly Perturbed Picard and Neumann Problems[J]. Journal of Anhui Normal University(Natural Science Edition), 1994, 17(1): 17-22
Authors:Zhang Xiang
Affiliation:Anhui Normal University
Abstract:In this paper we investigate the singularly perturbed Picard and Neumann problems. Under the appropriate assumptions,by means of the theory of differential inequality, we directly give out the existence of solutions and the estimations of solutions and its differential coefficient of the problems discribed. Hence. It has offered one kind of method which is applied to investigate the estimations of solutions for the singularly perturbed problems.
Keywords:Singular perturbation   Picard and Neumann problems  differential inequalities   estimation of solution and its differential coefficient.
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