A NOTE ON BOUNDARY VALUE PROBLEMS OF DIFFERENTIAL-DIFFERENCE EQUATIONS WITH LEFT AND RIGHT SHIFTS

This paper gives the existence of solutions for boundary value problems of differential-difference equations with left and right shifts.     

Boundary value problems for second order singularly perturbed differential equations

In this paper the existence and uniqueness of solutions of boundary value problems (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.     

The asymptotic expansions of singularly perturbed boundary value problems

In this paper we study the singularly perturbed boundary value problem:εy″=f(t,y,ε),y(0)=ξ(ε),y(1)=η(ε).where εis a positive small parameter.In the conditions:f_(?)(0,y,0)≥m_0 ,f_(?)(l,y,0)≥m_0 and f_(?)f(t,y,ε)≥0 ,we prove the existences,and uniformly valid asymptotic expansions of solutions for the given boundary value problems,and hence we improve the existing results.     

BOUNDARY VALUE PROBLEMS FOR SECOND ORDER SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS

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

具有退化性的辛映射的KAM定理

本文讨论辛映射的扰动问题．利用修改的ＡｒｎｏｌｄＫＡＭ迭代格式，给出一个不变环面的保持性定理．由于可积映射具有退化性，这推广了文［６］的工作．     

Nonmonotone Interior Layer Solutions for Singularly Perturbed Semilinear Boundary Value Problems with a Turning Point

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