三参数三阶非线性方程奇摄动问题解的套层现象  

The Jacketed Phenomena for a Class of Third-order Nonlinear Singularly Perturbed Problems with Three Parameters

作　　者：冯茂春[1] 

机构地区：[1]湖州师范学院理学院数学系,浙江湖州313000

出　　处：《工程数学学报》2012年第3期413-418,共6页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10471039)~~

摘　　要：本文讨论了一类三参数三阶非线性方程奇摄动问题解的各种可能出现的套层现象.通过引进不同量级的伸长变量,利用外部解和校正项相结合的方法构造了本问题形式上的任意阶的渐近解,并利用微分不等式这一工具对所求得的解作出估计,得出一致有效的肯定结论.In this paper, the jacketed phenomena for a class of third-order nonlinear singularly per- turbed problems with three parameters is discussed. Under the appropriate conditions, the uniformly effective asymptotic expansion is obtained by introducing extended variables and using the theory of differential inequality.

关 键 词：三参数 外部解 校正项 伸长变量 渐近解 

分 类 号：O175.14[理学—数学]