奇摄动半线性系统的边界层和角层性质

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Boundary and Angular Layer Behavior in Singularly Perturbed Semilinear Systems

1.
Department of Mathematics and Statistics, The University of Calgary, Alberta, Canada;
2.
Department of Mathematics, Nankai University, Tianjing

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.

Abstract: Some authors employed the method and technique of differential inequalities to obtain fairly general results concerning the existence and asymptotic behavior, as ε→0⁺, of the solutions of scalar boundary value problems εu^u=h(t,y),a

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[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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