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一类二阶微分差分方程边值问题的奇摄动解
Singular Perturbation Solution of Boundary-Value Problem for a Second-Order Differential-Difference Equation
【摘要】 本文利用两变量展开直接构造边界层项的方法,讨论了一类二阶微分差分方程边值问题的奇摄动解,构造了形式渐近解,作出了余项估计,从而证明了解的存在性。
【Abstract】 In this paper, the method of two-variables expansion is used to construct boundary layer terms of asymptotic solution of the boundary-value problem for a second -order DDE. The n-order formal asymptotic solution is obtained and the error is estimated. Thus the existence of uniformly valid asymptotic solution is proved.
- 【文献出处】 应用数学和力学 ,Applied Mathematics and Mechanics , 编辑部邮箱 ,1988年07期
- 【被引频次】1
- 【下载频次】18