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.
出处
《数学研究》
CSCD
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)
关键词
渐近性
套层解
初始层函数
抛物型方程
比较定理
asymptotic expansion
jacketed solution
hyperbolic equation
singular perturbation