Ni Shou-ping. Diagonalization Method for a Singularly Perturbed Vector Robin Problem[J]. Applied Mathematics and Mechanics, 1989, 10(4): 315-322.
Citation:
Ni Shou-ping. Diagonalization Method for a Singularly Perturbed Vector Robin Problem[J]. Applied Mathematics and Mechanics, 1989, 10(4): 315-322.
Ni Shou-ping. Diagonalization Method for a Singularly Perturbed Vector Robin Problem[J]. Applied Mathematics and Mechanics, 1989, 10(4): 315-322.
Citation:
Ni Shou-ping. Diagonalization Method for a Singularly Perturbed Vector Robin Problem[J]. Applied Mathematics and Mechanics, 1989, 10(4): 315-322.
Diagonalization Method for a Singularly Perturbed Vector Robin Problem
Received Date: 1987-10-19
Publish Date:
1989-04-15
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.
References
[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.
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