Boundary and Angular Layer Behavior in Singular Perturbed Quasilinear Systems

Lin Zong-chi

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Lin Zong-chi. Boundary and Angular Layer Behavior in Singular Perturbed Quasilinear Systems[J]. Applied Mathematics and Mechanics, 1986, 7(5): 401-408.

Citation:

Lin Zong-chi. Boundary and Angular Layer Behavior in Singular Perturbed Quasilinear Systems[J]. Applied Mathematics and Mechanics, 1986, 7(5): 401-408.

Citation:

Lin Zong-chi. Boundary and Angular Layer Behavior in Singular Perturbed Quasilinear Systems[J]. Applied Mathematics and Mechanics, 1986, 7(5): 401-408.

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Boundary and Angular Layer Behavior in Singular Perturbed Quasilinear Systems

Lin Zong-chi

Department of mathematics, Fujian Normal University, Fuzhou

Received Date: 1985-02-28
Publish Date: 1986-05-15

Abstract

Abstract

In this paper,using the method of differential inequalities,we study the existence of solutions and their asymptotic behavior,as ε→0⁺ of Dirichlet problem for a second order quasilinear systems Denendine on whether the reduced solution u(t) has or does not have a continuous first-derivative in(a,b),we study two types of asymptotic behavior,thus leading to the phenomena of boundary and angular layers.

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References(3)

References

[1]	O'Donnell,M,A.,Boundary and comer layer behavior in semilinear systems of boundary value problems,SIAM J,Math.Anal.,2(1984).
[2]	Bernfeld,S. and V. Lakshmikantham,An Iniroduciion to Non-linear Boundary Value Problems,Academic Press,New York(1974).
[3]	Hebets,P,and M,Laloy,E'tude de problemes aux limites par la method des sur-et sous-solutions,Lecture Notes,Catholic University of Louvain(1974).