## 留言板

 引用本文: 章国华, 刘光旭. 奇摄动半线性系统的边界层和角层性质[J]. 应用数学和力学, 1984, 5(3): 337-344.
K. W. Chang, G. X. Liu. Boundary and Angular Layer Behavior in Singularly Perturbed Semilinear Systems[J]. Applied Mathematics and Mechanics, 1984, 5(3): 337-344.
 Citation: K. W. Chang, G. X. Liu. Boundary and Angular Layer Behavior in Singularly Perturbed Semilinear Systems[J]. Applied Mathematics and Mechanics, 1984, 5(3): 337-344.

## Boundary and Angular Layer Behavior in Singularly Perturbed Semilinear Systems

• 摘要: 一些作者已对纯量边值问题εy"=h(t,y),a+时其解的存在性和渐近性质.本文是在退化方程0=h(t,u)的解u=u(t)假定具有类似稳定性的条件下,将上述的研究推广到向量边值问题.退化解u(t)在(a,b)内是否有连续的一阶导数,将决定向量边值问题的渐近性质的类型,即出现边界层现象和角层现象.
•  [1] (1) Brish,N.I.,On Boundary Value Problems for the Equation εyn=f(x,y,Y') for small ε,Dokl.Akad.Nauk SSSR 95(1954),429-432. [2] (2) Hebets,P.and M.Laloy,Etude de probl鑝es aux limit閟 par la m鑤hode des surer sous-solutions,Lecture notes,Catholic University of Louvain,Belgium (1974). [3] (3) Bernfeld,S.and V.Lakshmikantham,An Introduction to Nonlinear Boundary Value Problems,Academic Press,New York,(1974). [4] (4) Boglaev,Yu.B.,The two-point problem for a class of ordinary differential equations with a small parameter coefficient of the derivative,USST Comp.Math.and Math.Phys.10 (1970),4,191-204. [5] (5) Chang,K.W.and F.A.Howes,Nonlinear Singular Perturbation Phenomena,Springer-Verlag Pub.(in press). [6] (6) O'Donnell,M.A.,Boundary and Corner Layer Behavior in Singularly Perturbed Semilinear Systems of Boundary Value Problems,SIAM J.Math.Anal.(to be published).

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##### 出版历程
• 收稿日期:  1983-07-07
• 刊出日期:  1984-06-15

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