Singular Perturbations of Robin Boundary Value Problems for Semilinear Systems

K. W. Chang; Lin Zong-chi

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Article Navigation > Applied Mathematics and Mechanics > 1985 > 6(9): 775-779

K. W. Chang, Lin Zong-chi. Singular Perturbations of Robin Boundary Value Problems for Semilinear Systems[J]. Applied Mathematics and Mechanics, 1985, 6(9): 775-779.

Citation:

K. W. Chang, Lin Zong-chi. Singular Perturbations of Robin Boundary Value Problems for Semilinear Systems[J]. Applied Mathematics and Mechanics, 1985, 6(9): 775-779.

Citation:

K. W. Chang, Lin Zong-chi. Singular Perturbations of Robin Boundary Value Problems for Semilinear Systems[J]. Applied Mathematics and Mechanics, 1985, 6(9): 775-779.

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Singular Perturbations of Robin Boundary Value Problems for Semilinear Systems

K. W. Chang¹,
Lin Zong-chi²

1.
Department of Mathematics, University of Calgary, Canada;
2.
Department of Mathematics, Fujian Normal University, Fuzhou

Received Date: 1984-11-15
Publish Date: 1985-09-15

Abstract

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.

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References(3)

References

[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).