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奇摄动三阶非线性边值问题解的存在性和惟一性
引用本文:王国灿. 奇摄动三阶非线性边值问题解的存在性和惟一性[J]. 纺织高校基础科学学报, 2005, 18(1): 29-32
作者姓名:王国灿
作者单位:大连交通大学,应用数学教研室,辽宁,大连,116028
摘    要:利用微分不等式技巧,研究了三阶微分方程非线性边值问题的奇撮动,得到了解的存在性、惟一性及其渐近估计.

关 键 词:三阶微分方程  非线性边值问题  奇摄动  微分不等式
文章编号:1006-8341(2005)01-0029-04
修稿时间:2004-06-02

Existence and uniqueness of solutions for singularly perturbed third order nonlinear boundary value problems
WANG Guo-can. Existence and uniqueness of solutions for singularly perturbed third order nonlinear boundary value problems[J]. Basic Sciences Journal of Textile Universities, 2005, 18(1): 29-32
Authors:WANG Guo-can
Abstract:The third order singularly perturbed boundary value problem are studied.Using the method of (differential) inequality existence and uniqueness of solutions are obtained.In addition,asymptotic estimates of solutions are obtained.
Keywords:the third order differential equation  nonlinear boundary value problem  singularly perturbed  (differential) inequality
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