一类拟线性Robin边值问题的激波解  

Shock Solution a Class of Quasilinear Robin Boundary Value Problems

作　　者：莫嘉琪[1] 陈秀[2] 

机构地区：[1]安徽师范大学数学系 [2]合肥学院数理系,合肥230022

出　　处：《吉林大学学报（理学版）》2008年第2期193-196,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:4067601610471039);国家重点基础研究发展规划(973)项目基金(批准号:2003CB415101-032004CB418304);中国科学院知识创新工程方向性研究项目基金(批准号:KZCX3-SW-221);上海市教育委员会E-研究院建设计划项目基金(批准号:E03004);安徽省教育厅重点科研基金(批准号:KJ2007A013)

摘　　要：研究一类Robin边值问题.在适当的假设下,利用幂级数展开式,构造了原问题的形式外部解;利用伸长变量,在区间内点附近构造问题解的激波层校正项;利用微分不等式理论,证明了原Robin边值问题解的存在性以及在整个区间内的一致有效性和渐近性.A class of formal outer solution Robin boundary of the original Secondly, shock layer corrective term value problems are considered. Under suitable conditions, firstly, the problem is constructed with the expansion method of power series. near the interior point in the interval is constructed via the transfonna- tion of stretched variable. Finally, the existence and uniform validity in the whole interval and asymptotic behavior of solution for the original Robin boundary value problems are proved by means of the theory of differential inequalities. The satisfying results are obtained.

关 键 词：奇摄动 拟线性 边值问题 激波解 

分 类 号：O175.14[理学—数学]