摘要
本文研究一类含有双参数非线性微分方程组的奇摄动,在适当的假设条件下,利用微分不等式理论,证明了摄动解的存在,并给出了解的直到o(sum from k=0 to n+1 ε^(N+1-K)μ~k)阶的一致有效渐近展开式。
In this paperFwe study thesingular perturbation of nonlinear ddifferential equations with two parameters:
y' = f(x,y, z, ε,μ),y(1,ε,μ) = a(ε,μ)
εy' = F(x,y, z, z_1, ε,μ), z'(0,ε,μ) = b(ε,μ)
z(1,ε,μ) = c(ε,μ)
Under some affropriate conditions, using the theory of differential inequalities, we qet the existence of the solution and its asymptotic expansions which is uniformly valid for all orders until
出处
《福建师大福清分校学报》
1995年第2期1-9,共9页
Journal of Fuqing Branch of Fujian Normal University
基金
福建省自然科学基金资助项目
