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二阶奇摄动拟线性微分系统的可解性
引用本文:姚静荪,莫嘉琪,陈秀.二阶奇摄动拟线性微分系统的可解性[J].数学杂志,2010,30(6).
作者姓名:姚静荪  莫嘉琪  陈秀
作者单位:安徽师范大学数学系;合肥学院数理系;
基金项目:the National Natural Science Foundation of China,the National Key Project for Basics Research,the Key Project of the Chinese Academy of Sciences,the National Science Foundation from the Education Bureau of Anhui Province
摘    要:本文研究了一类二阶拟线件微分系统.利用边界层校正法,Green公式以及微分不等式理论,得到了一类一二阶拟线性微分系统两点边值问题的可解性条件.

关 键 词:奇摄动  微分系统  边界层

THE SOLVABILITY FOR SINGULARLY PERTURBED QUASI-LINEAR DIFFERENTIAL SYSTEM OF SECOND ORDER
YAO Jing-sun,MO Jia-qi,CHEN Xiu.THE SOLVABILITY FOR SINGULARLY PERTURBED QUASI-LINEAR DIFFERENTIAL SYSTEM OF SECOND ORDER[J].Journal of Mathematics,2010,30(6).
Authors:YAO Jing-sun  MO Jia-qi  CHEN Xiu
Institution:YAO Jing-sun1,MO Jia-qi1,CHEN Xiu 2 (1. Dept. of Math.,Anhui Normal University,Wuhu 241000,China) (2. Dept. of Math. and Phys.,Hefei University,Hefei 230022,China)
Abstract:In this article,we consider a class of quasi-linear differential system.By using the boundary layer corrective method,Green formula,and the theory of differential inequalities,the condition of the solvability for the two points problem for the singularly perturbed differential system of second order is obtained.
Keywords:singular perturbation  differential system  boundary layer
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