Boundary and Angular Layer Behavior in Singularly Perturbed Semilinear Systems

K. W. Chang; G. X. Liu

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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.

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.

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Boundary and Angular Layer Behavior in Singularly Perturbed Semilinear Systems

K. W. Chang¹,
G. X. Liu²

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

Received Date: 1983-07-07
Publish Date: 1984-06-15

Abstract

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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References(6)

References

[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).