非线性奇摄动抛物型方程初值问题的套层解(英文)  

Jacketed Solution of Initial Value Problems for the Nonlinear Singularly Hyperbolic Equations

作　　者：程燕[1] 

机构地区：[1]中国人民解放军炮兵学院基础部,安徽合肥230031

出　　处：《数学研究》2004年第1期17-20,共4页Journal of Mathematical Study

基　　金：Supported by the National Natural Science Foundation of China (1 0 0 71 0 4 8)

摘　　要：运用了初始层函数构造了一类非线性奇摄动抛物型方程初值问题解的渐近展开式 。In this paper, the asymptotic expansion of the solution of initial value problem for a class of nonlinear singularly perturbed hyperbolic equations which have double initial layer properties is constructed. The uniform valid of the constructed asymptotic expansion of the solution of is proved.

关 键 词：渐近性 套层解 初始层函数 抛物型方程 比较定理 

分 类 号：O175.2[理学—数学]