[1]许国安,余赞平.具有多个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),2015,36(预先出版):0.
　XU Guo-an,YU Zan-ping.Singular Perturbation Second Order Quasilinear Boundary Value Problem with Multi-turning Point[J].Journal of Huaqiao University(Natural Science),2015,36(预先出版):0.
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具有多个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36卷
期数:
2015年预先出版
页码:
0
栏目:
出版日期:
2027-07-30

文章信息/Info

Title:
Singular Perturbation Second Order Quasilinear Boundary Value Problem with Multi-turning Point
作者:
许国安;  余赞平
1. 华侨大学 数学科学学院, 福建 泉州 362021;2. 福建师范大学 数学与计算机科学学院, 福建 福州 350007
Author(s):
XU Guo-an;  YU Zan-ping
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;  拟线性
Keywords:
turning point;  boundary value problem;  singular perturbation;  quasilinear
分类号:
O175.1
文献标志码:
A
摘要:
在缺乏弱稳定的条件下,考虑具有两个转向点的二阶拟线性边值问题,证明解的存在性并给出了解的一致有效估计.研究结论可推广至含有m(m>2)个转向点情形.
Abstract:
The singularly perturbation second order quasilinear boundary value problem with two turning points is studied. Under the weakness condition, the existence of solutions is proved, and the uniformly valid asymptotic estimation of solutions is obtained.The results could be extended to boundary value problem(BVP)with m(m>2)turning points.

参考文献/References:

[1] NAYFEH A H.Perturbation methods[M].New York:Wiley,1973:120-200.
[2] O'MALLEY R E.Jr.Introduction to singular perturbations[M].New York:Academic Press,1974:1-45.
[3] 余赞平.一类具有高阶转向点的二次问题的奇摄动[J].数学研究,2005,38(2):180-183.
[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,1993,14(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,1995,8(2):231-238.
[6] 余赞平,肖蓬,一类具有转向点的边值问题的奇摄动[J].福建师范大学学报:自然科学版,2004,20(4):6-8.
[7] 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.
[8] 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.

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　XU Guo-an,YU Zan-ping.Singular Perturbation Second Order Quasilinear Boundary Value Problem with Multi-Turning Point[J].Journal of Huaqiao University(Natural Science),2014,35(预先出版):472.[doi:10.11830/ISSN.1000-5013.2014.04.0472]

备注/Memo

备注/Memo:
收稿日期: 2013-04-09
通信作者: 许国安(1981-),男,讲师,主要从事常微分奇异摄动理论的研究.E-mail:xga99163@163.com.
基金项目: 华侨大学科研基金资助项目, 中央高校基本科研业务费专项资金资助项目(10HZR25)
更新日期/Last Update: 1900-01-01