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奇摄动非线性系统的渐近解
引用本文:倪守平. 奇摄动非线性系统的渐近解[J]. 福建师范大学学报(自然科学版), 1994, 10(4): 1-6
作者姓名:倪守平
摘    要:利用对角化方法研究了含两个小参数的一阶非线性系统第三类边值问题解的存在性和解的渐近性态,得到解的任意有效渐近展开式。

关 键 词:非线性系统 渐近解 边值问题 摄动

The Asymptotic Solution for Nonlinear Systems of Singular Perturbations
Ni Shouping. The Asymptotic Solution for Nonlinear Systems of Singular Perturbations[J]. Journal of Fujian Teachers University(Natural Science), 1994, 10(4): 1-6
Authors:Ni Shouping
Affiliation:Department of Mathematics
Abstract:In this paper,the diagonalization method are employed to study the existence and asymptotic behavior of solution of boundary value problem for third class of first arder nonlinear systems involving two small parameters.The uniformly valid asymptotic expansion of arbitrary order of the solution are obtained.
Keywords:nonlinear systems.boundary value   diagonalization  asymptotic solution  
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