半线性系统的Robin边值问题的奇摄动

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Singular Perturbations of Robin Boundary Value Problems for Semilinear Systems

摘要: 本文利用微分不等式的方法与技巧研究半线性系统的Robin边值问题的奇摄动.我们假定相应的退化系统至少有一个Ⅰ_q^-稳定的解.这种依分量Ⅰ_q^-稳定性的条件将允许我们去得到解的每一个分量的估计.

Abstract: In this paper, we study the singular perturbations of Robin boundary value problems for semilinear systems using the method and technique of differential inequalities. We assume that the corresponding reduced system has at least one solution which is I_q-stable. This "component-wise" I_q-stability condition will allow us to obtain estimates for each component of the solution.

[1]	O'Donnell, M.A., Boundary and corner layer behavior in singularly perturbed semilinear systems of boundary value problems, SIAM J Math.Anal.(to appear).
[2]	Bernfeld, S.and Lakshmikanthan, An Introduction to Nonlinear Boundary Value Problems, Academic Press, New York(1974).
[3]	Hebets, P.and Laloy, Et'ude de problèmes aux limites par la méthode des sur-et soussolutions, Lecture notes, Catholic University of Louvain(1974).

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