二阶奇摄动边值问题

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Boundary Value Problems for Second Order Singularly Perturbed Differential Equations

摘要: 本文应用上下解方法研究了边值问题εy"=f(t,y,ε),L(y(0),y'(0),ε)=0,R(y(1),y'(1),ε)=0(含一般的Robin问题)的解的存在性,唯一性和估计.

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.

[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.