Boundary Value Problems for Second Order Singularly Perturbed Differential Equations

Zhou Qin-de; Miao Shu-mei

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Zhou Qin-de, Miao Shu-mei. Boundary Value Problems for Second Order Singularly Perturbed Differential Equations[J]. Applied Mathematics and Mechanics, 1988, 9(1): 91-94.

Citation:

Zhou Qin-de, Miao Shu-mei. Boundary Value Problems for Second Order Singularly Perturbed Differential Equations[J]. Applied Mathematics and Mechanics, 1988, 9(1): 91-94.

Citation:

Zhou Qin-de, Miao Shu-mei. Boundary Value Problems for Second Order Singularly Perturbed Differential Equations[J]. Applied Mathematics and Mechanics, 1988, 9(1): 91-94.

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Boundary Value Problems for Second Order Singularly Perturbed Differential Equations

Jilin University, Changchun

Received Date: 1986-02-21
Publish Date: 1988-01-15

Abstract

Abstract

In this paper the existence and uniqueness of solutions of boundary value problems εy"=f(t,y,e) L(y(0),y'(0,ε=0, R(y(1),y'(1),ε=0)(which contains the Robin's problem) is discussed by using the upper and lower solution. In addition,the asymptotic estimation of the solution is given as well.

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References(3)

References

[1]	Бриш Н.И.,О краевых задачах для уравнения εy"=f(x,y,y')при малых εДАН СССР,ХСV,3(1954)429-432
[2]	章国华、林宗池,半线性系统的Robin边值问题的奇摄动,应用数学和力学,7,9(1985)775-779.
[3]	Erbe,L.H.,Nonlinear boundary value problems for second order differential equations,T.Differential Ec7uations,7(1970),459-472.