[1]许国安,余赞平.具有转向点的奇摄动二阶拟线性边值问题[J].华侨大学学报(自然科学版),2010,31(3):346-350.[doi:10.11830/ISSN.1000-5013.2010.03.0346]
　XU Guo-an,YU Zan-ping.Singular Perturbation of Second Order Quasilinear Boundary Value Problem with Turning Point[J].Journal of Huaqiao University(Natural Science),2010,31(3):346-350.[doi:10.11830/ISSN.1000-5013.2010.03.0346]
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具有转向点的奇摄动二阶拟线性边值问题()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第31卷
期数:
2010年第3期
页码:
346-350
栏目:
出版日期:
2010-05-20

文章信息/Info

Title:
Singular Perturbation of Second Order Quasilinear Boundary Value Problem with Turning Point
文章编号:
1000-5013(2010)03-0346-05
作者:
许国安; 余赞平
华侨大学数学科学学院; 福建师范大学数学与计算机科学学院
Author(s):
XU Guo-an1;  YU Zan-ping2
1.School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China; 2.School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China
关键词:
转向点;  边值问题;  奇摄动;  二阶拟线性
Keywords:
turning point;  boundary value problem;  singular perturbation;  seand order quasilinear
分类号:
O175.14
DOI:
10.11830/ISSN.1000-5013.2010.03.0346
文献标志码:
A
摘要:
研究具有转向点的奇摄动二阶拟线性边值问题.在缺乏弱稳定的条件下,考虑具有转向点的二阶拟线性边值问题,利用经典的上、下解方法,证明边值问题解的存在性,并给出了解的一致有效估计.
Abstract:
In this paper,we study the singularly perturbation of second order quasilinear boundary value problem with turning point.Under the lost of weakness stability,using the method of upper and lower solution,we prove the existence of solutions and get the uniformly valid asymptotic estimation of solutions.

参考文献/References:

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[2] O’MALLEY R E Jr. Introduction to singular perturbations [M]. New York:Academic Press, Inc, 1974.
[3] 周软德. 具有转向点的奇摄动边值问题 [J]. 东北数学(英文版), 1986(1):100-110.
[4] 蔡建平, 林宗池. 具有转向点的三阶半线性奇摄动边值问题解的存在性 [J]. 应用数学和力学, 1993, (12):1035-1039.
[5] 吴钦宽, 张祥. 具有转向点的奇摄动非线性边值问题解的一致有效估计 [J]. 应用数学, 1995(2):231-238.
[6] 章国华, 侯斯 F A. 非线性奇异摄动现象:理论和应用 [M]. 福州:福建科学技术出版社, 1989.6-15, 28-31.
[7] 吴钦宽. 一类奇摄动非线性边值问题激波解的间接匹配 [J]. 华侨大学学报(自然科学版), 2006(2):123-125.doi:10.3969/j.issn.1000-5013.2006.02.003.

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备注/Memo

备注/Memo:
国务院侨办科研基金资助项目(07QZR09,09QZR10)
更新日期/Last Update: 2014-03-23