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一类向量三阶微分方程二点或三点边值问题的奇摄动
引用本文:林国建,余赞平. 一类向量三阶微分方程二点或三点边值问题的奇摄动[J]. 北京师范大学学报(自然科学版), 2004, 40(2): 143-147
作者姓名:林国建  余赞平
作者单位:北京师范大学数学系,100875,北京;北京师范大学数学系,100875,北京
摘    要:在适当的条件下,应用对角化方法研究一类向量三阶微分方程二点或三点边值问题解的存在性,并获得解及它的一、二阶导数的估计.

关 键 词:对角化方法  非线性系统  边值问题
修稿时间:2003-03-26

SINGULAR PERTURBATION OF A CLASS OF VECTER THIRD DIFFERENTIAL SYSTEMS WITH TWO-POINT OR THREE-POINT BOUNDARY PROBLEM
Lin Guojian Yu Zanping. SINGULAR PERTURBATION OF A CLASS OF VECTER THIRD DIFFERENTIAL SYSTEMS WITH TWO-POINT OR THREE-POINT BOUNDARY PROBLEM[J]. Journal of Beijing Normal University(Natural Science), 2004, 40(2): 143-147
Authors:Lin Guojian Yu Zanping
Abstract:Under some hypotheses,the diagonalization method is applied to study the existence of solution for a class of vector third differential systems with two point or three point boundary problem.Meanwhile,the asymptotic estimate of the solution as well as its first order derivative and its second order derivative is obtained.
Keywords:diagonalization method  non linear systems  boundary problem
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