奇摄动向量Robin问题的对角化方法
Diagonalization Method for a Singularly Perturbed Vector Robin Problem
-
摘要: 本文使用对角化的方法和技巧,把一个二阶的非线性系统变换成二个一阶的近似对角线的系统,获得奇异摄动类型的向量二阶非线性Robin问题解的存在性和渐近估计式.Abstract: In this paper the method and technique of the diagonalization are employed to transform a vector second-order nonlinear system into two first-order approximate diagonalized systems.The existence and the asymptotic behavior of the solutions are obtained for a vector second-order nonlinear Robin problem of singular perturbation type.
-
[1] Chang,K.W.,Singular perturbation of a general boundary value problem, SIAM J. Math. Anal.,3 (1972), 520-526. [2] Chang,K, W.,Diagonalization method for a vector boundary problem of singular perturbation type, J, Math.Anal.Appl.,48 (1974), 652-665. [3] Chang, K, W, Singular perturbations of a boundary problem for a vector differential equation, SAM J. Appl.Math.,30 (1976),.42-54. [4] 倪守平,伴有边界摄动的向量高阶非线性边值问题的奇摄动,数学物理学报,4 (1984), 345-354. [5] Бриш Н.И.,О краввых задачах для уравнения εy"=f(x,y,y') при малых ε,ДАН,95, 3 (1954), 429-432. -
点击查看大图
计量
- 文章访问数: 1456
- HTML全文浏览量: 51
- PDF下载量: 571
- 被引次数: 0
下载:
