1.

ASYMPTOTIC BEHAVIOR OF SINGULARLY PERTURBED SOLUTION FOR A CLASS OF ROBIN PROBLEM OF NONLINEAR NONAUTONOMOUS EQUATION





Tang Rongrong 《Annals of Differential Equations》,2005年第21卷第4期


In this paper, using the layer theory, a class of singularly perturbed Robin problem of nonlinear nonautonomous equation is considered. According to the different regions of the boundary value, the asymptotic behaviors of solution for the original problem are obtained simply and conveniently.

2.

Nonlinear singularly perturbed problems of ultra parabolic equations





林苏榕 莫嘉琪《应用数学和力学(英文版)》,2008年第29卷第10期


A class of nonlinear singularly perturbed problem of ultra parabolic equations are considered. Using the comparison theorem, the existence, uniqueness and its asymptotic behavior of solution for the problem are studied.

3.

ASYMPTOTIC SOLUTION TO NONLINEAR REACTION DIFFUSION EQUATION WITH TWO SMALL PARAMETERS





Jingsun Yao Jiaqi Mo《Annals of Differential Equations》,2010年第1期


In this paper, a class of nonlinear reaction diffusion singularly perturbed problem with two parameters is studied. Using the singular perturbation method, the structure of solution to the problem is discussed related two small parameters. The asymptotic solution to the problem is given.

4.

A Class of Nonlocal Boundary Value Problemsfor Semilinear Elliptic Equation of Fourth Order





LiPing《工科数学》,1999年第15卷第4期


in this paper a class of singularly perturbed nonlocal problem for semilinear ellip tic equation of fourth order is considered.

5.

A CLASS OF SINGULARLY PERTURBED INITIAL BOUNDARY PROBLEM FOR REACTION DIFFUSION EQUATION





XieFeng《分析论及其应用》,2003年第19卷第1期


The singularly perturbed initial boundary value problem for a class of reaction diffusion equation is considered. Under appropriate conditions, the existenceuniqueness and the asymptotic behavior of the solution are showed by using the fixedpoint theorem.

6.

THE SINGULARLY PERTURBED NONLOCAL BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER NONLINEAR ELLIPTIC EQUATIONS 被引次数：2





MOJIAQI《高校应用数学学报(英文版)》,1998年第13卷第1期


In this paper,a class of singular perturbation of noidocal boundary value problems forelliptic partial differentia[ equations of higher order is considered by using the differential inequalities. The uniformly valid asymptotic expansion of solution is obtained.

7.

A CLASS OF SINGULARLY PERTURBED EQUATIONS FOR LARGE PARAMETER WITH THREE TURNING POINTS





《Annals of Differential Equations》,2012年第2期


A class of singularly perturbed problem of third order equation with two parameters is studied. Using singular perturbation method, the structure of solutions to the problem is discussed in three different cases about two small parameters. The asymptotic solutions to the problem are given. The structure of solutions and the different limit behaviors are revealed. And the solutions are compared with the exact solutions to the equation in which the coefficients are constants and a relatively more perfect res...

8.

TRAVELING WAVES CONNECTING EQUILIBRIUM AND PERIODIC ORBIT FOR DELAYED LATTICE DIFFERENTIAL EQUATION





《Annals of Differential Equations》,2012年第3期


A class of lattice with time delay and nonlocal response is considered.By transforming the lattice delay differential system into an integral equations in a Banach space,we reduces a singular perturbation problem to a regular perturbation problem.Traveling wave solution therefore is obtained by applying LiapunovSchmidt method and the implicit function theorem.

9.

一类非线性椭圆型方程奇摄动问题





ZHANG Hanlin《数学季刊》,2005年第20卷第4期


A class of singularly perturbed problems for the nonlinear elliptic equations is considered. Under suitable conditions, using the theory of differential inequalities the asymptotic behavior of solution for the boundary value problems are studied, which reduced equations possess two intersecting solutions.

10.

ASYMPTOTIC SOLUTION OF SINGULARLY PERTURBED PROBLEM FOR A NONLINEAR SINGULAR EQUATION





MoJiaqi LinWantao《高校应用数学学报(英文版)》,2004年第19卷第2期


The singularly perturbed initial value problem for a nonlinear singular equation is considered. By using a simple and special method the asymptotic behavior of solution is studied.

11.

THE ASYMPTOTIC BEHAVIOR OF SOLUTION FOR A CLASS OF STRONGLY NONLINEAR NONAUTONOMOUS EQUATION 被引次数：1





Tang Rongrong 《Annals of Differential Equations》,2006年第22卷第4期


In this paper, using the singularly perturbed theory and the boundary layer corrective method, the asymptotic behavior of solution for a class of strongly nonlinear nonautonomous equations and the infection for asymptotic behavior of the solution with regard to the boundary condition are studied. According to the different regions of the boundary value, the asymptotic expansions of the solution for the original problem are obtained simply and conveniently.

12.

A class of singular perturbation solutions to semilinear equations of fourth order





莫嘉琪《应用数学和力学(英文版)》,2009年第30卷第11期


A class of singularly perturbed boundary value problems for semilinear equations of fourth order with two parameters are considered. Under suitable conditions, using the method of lower and upper solutions, the existence and the asymptotic behavior of the solution to the boundary value problem are studied, In the present paper, the solution to the original singularly perturbed problem with two parameters has only one boundary layer.

13.

Singularly perturbed solution to semilinear reaction diffusion equations with two parameters





莫嘉琪 刘树德《应用数学和力学(英文版)》,2009年第30卷第5期


A class of singularly perturbed initial boundary value problems for semilinear reaction diffusion equations with two parameters is considered, Under suitable conditions and using the theory of differential inequalities, the existence and the asymptotic behavior of the solution to the initial boundary value problem are studied.

14.

A CLASS OF NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR ELLIPTIC EQUATION WITH BOUNDARY PERTURBATION





莫嘉琪《Annals of Differential Equations》,2004年第20卷第4期


A class of nonlinear nonlocal singularly perturbed boundary value problems for elliptic equation with boundary perturbation is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained, secondly, using the stretched variable, the composing expansion method and the expanding theory of power series, the boundary layer is constructed, finally, using the theory of differential inequalities the asymptotic behavior of solution for the boundary value problems is studied and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation is discussed.

15.

EXISTENCE AND ASYMPTOTIC ESTIMATE OF SOLUTION FOR THIRD ORDER BOUNDARY VALUE PROBLEM 被引次数：1





王国灿 金丽《Annals of Differential Equations》,2004年第20卷第1期


This article shows the existence and asymptotic estimates of solutions of singularly perturbed boundary value problems for a class of third order nonlinear differential equations εx'" = f(t,x,x',ε), x(0) = A, x'(0) = x'(1), x"(0) = x"(1).

16.

MULTIPLE LAYER BEHAVIOR OF BOUNDARY VALUE PROBLEM FOR SINGULARLY PERTURBED nTH ORDER NONLINEAR DIFFERENTIAL EQUATION





Chen Xiu《Annals of Differential Equations》,2007年第23卷第2期


In this paper,we study the singular perturbation of boundary value problem for a class of nth order nonlinear differential equation,the solution is shown to exhibit multiple layer behavior.According to different layers and by introducing extended variable,we obtain the uniformly effective asymptotic expansion with different boundary layer correction term.

17.

CHINESE ZNNALS OF MZTHEMATICS Vol.5 Ser.A No.4 CONTENTS AND ABSTRACTS





《数学年刊B辑(英文版)》,1984年第3期


The Global Solution for A Class of Multidimensionrl Nonlinear Wave EquationsGuo Boling(郭柏灵)The author proves the existence of the glabal generalized and smooth solutions for the initialnoundary value problem of a class of multidimensional nonlinear wave equations by means ofGalerkin method.This system is connected with the problem for the existence of three dimensionalsoliton.Singular Perturbation of Boundary Problem for Higher Order Quasilinear

18.

SINGULAR PERTURBATION OF INITIALBOUNDARY VALUE PROBLEMS FOR A CLASS OF REACTION DIFFUSION SYSTEMS 被引次数：2





莫嘉琪《应用数学和力学(英文版)》,1991年第12卷第4期


In this paper,a class of singularly perturbed initialboundary value problems for thereaction diffusion systems is considered.Using the theory of differential inequality,weprove that the initialboundary value problems have a solution and obtain their asymptoticexpansion.

19.

Singular perturbation for the weakly nonlinear reaction diffusion equation with boundary perturbation





莫嘉琪《应用数学和力学(英文版)》,2008年第29卷第8期


In this paper, a class of nonlinear singularly perturbed initial boundary value problems for reaction diffusion equations with boundary perturbation are considered under suitable conditions. Firstly, by dint of the regular perturbation method, the outer solution of the original problem is obtained. Secondly, by using the stretched variable and the expansion theory of power series the initial layer of the solution is constructed. And then, by using the theory of differential inequalities, the asymptotic behavior of the solution for the initial boundary value problems is studied. Finally, using some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation are discussed.

20.

SINGULARLY PERTURBED SEMILINEAR BOUNDARY VALUE PROBLEM WITH DISCONTINUOUS FUNCTION





丁海云 倪明廉 林武忠 曹扬《数学物理学报(B辑英文版)》,2012年第32卷第2期


A class of singularly perturbed semilinear boundary value problems with discontinuous functions is examined in this article.Using the boundary layer function method,the asymptotic solution of such a p...
