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Singularly perturbed solution to semilinear reaction diffusion equations with two parameters

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Applied Mathematics and Mechanics(English Edition) 2009年第5期30卷 653-658页

作者：莫嘉琪刘树德 Department of Mathematics Anhui Normal University Division of Computational Science E-Institute of Shanghai Universities at SJTU

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 inequalitie... 详细信息

关键词： nonlinear two parameters singular perturbation reaction diffusion initial layer boundary layer

Asymptotic Solution of Nonlinear Nonlocal Singularly Perturbed reaction diffusion Problems with Two Parameters

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Acta Mathematicae Applicatae Sinica 2012年第3期28卷 583-590页

作者： Zai-ying ZHOU Jia-qi MO Department of Mathematics Anhui Normal UniversityWuhu 241000China

A class of differential-difference reaction diffusion equations initial boundary problem with a small time delay is considered. Under suitable conditions and by using method of the stretched variable, the formal asymptotic solution is constructed. And then, by using the theory of differential inequalities the uniformly validity of solution is proved.

关键词： nonlinear reaction diffusion singular perturbation time delay

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

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Applied Mathematics and Mechanics(English Edition) 2008年第8期29卷 1105-1110页

作者： MO Jia-qi Department of Mathematics Anhui Normal University Wuhu 241000 Anhui Province P. R. China Department of Mathematics Huzhou Teachers College Huzhou 313000 Zhejiang Province P. R. China Division of Computational Science E-Institutes of Shanghai Universities at Shanghai Jiaotong University Shanghai 200240 P. R. China

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.

关键词： nonlinear reaction diffusion singular perturbation boundary perturbation

A CLASS OF NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR reaction diffusion EQUATIONS WITH BOUNDARY PERTURBATION

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Applied Mathematics and Mechanics(English Edition) 2005年第12期26卷 1664-1668页

作者：莫嘉琪王辉林万涛 Department of Mathematics Anhui Normal University Chinese Academy of Meteorological Sciences LASG Institute of Atmospheric Physics Chinese Academy of Sciences

A class of nonlinear nonlocal for singularly perturbed Robin initial boundary value problems for reaction diffusion equations with boundary perturbation is considered. Under suitable conditions, first, the outer solution of the original problem was obtained. Secondly, using the stretched variable, the composing expansion method and the expanding theory of power series the initial layer was constructed. Finally, using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems was studied, and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation were discussed.

关键词： nonlinear reaction diffusion singular perturbation

THE NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR reaction diffusion EQUATIONS WITH TIME DELAY

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Acta Mathematica Scientia 2001年第2期21卷 254-258页

作者：莫嘉琪冯茂春 Anhui Normal University Wuhu 241000 China Huzhou Teachers College Huzhou 313000 China

A class of nonlinear for singularly perturbed problems for reaction diffusion equations with time delays are considered. Under suitable conditions, using theory of differential inequalities the asymptotic behavior of ... 详细信息

关键词： reaction diffusion singular perturbation nonlinear systems

A CLASS OF SINGULARLY PERTURBED reaction diffusion SYSTEMS

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Applied Mathematics and Mechanics(English Edition) 1997年第3期18卷 273-277页

作者：莫嘉琪 Auhui Normal University Wuhu PR China

A class of singularly perturbed reaction diffusion systems are considered. Under suitable conditions, using the comparison theorem the asymptotic behavior of solution for the initial boundary value problems is studied.

关键词： reaction diffusion singular perturbation comparison theorem

A KIND OF NONLOCAL PROBLEMS FOR SINGULARLY PERTURBED reaction diffusion SYSTEMS

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Acta Mathematica Scientia 1999年第3期19卷 337-342页

作者：陈育森莫嘉琪 Fujian Normal University Fuqing Branch Fuqing 350300 China Anhui Normal University Wuhu 241000 China

The problems of the nonlocal boundary conditions for the singularly perturbed reaction diffusion systems are considered. Under suitable conditions, using the comparison theorem the asymptotic behavior of solution for ... 详细信息

关键词： reaction diffusion singular perturbations comparison theorem nonlocal problems

Singularly perturbed reaction diffusion equations with time delay

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Applied Mathematics and Mechanics(English Edition) 2010年第6期31卷 769-774页

作者：莫嘉琪温朝晖 Department of Mathematics Anhui Normal University Wuhu 241000 Division of Computational Science E-Institute of Shanghai Universities at SJTU Institute of Applied Mathematics School of Statistics and Applied Mathematics Anhui University of Finance and Economics

A class of initial boundary value problems of differential-difference equations for reaction diffusion with a small time delay is considered. Under suitable conditions and by using the stretched variable method, a formal asymptotic solution is constructed. Then, by use of the theory of differential inequalities, the uniform validity of the solution is proved.

关键词： nonlinear reaction diffusion singular perturbation time delay

THE NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR reaction diffusion EQUATIONS

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Applied Mathematics and Mechanics(English Edition) 2003年第5期24卷 527-531页

作者：莫嘉琪朱江 Department of Mathematics Anhiu 241000 Beijing 100029 Chinese Academy of Sciences Wuhu Institute of Atmospheric Physics Anhui Normal University ICEES P.R.China

A class of nonlinear nonlocal for singularly perturbed Robin initial boundary value problems for reaction diffusion equations 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 initial layer is constructed, finally, using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems are studied and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation is discussed.

关键词： nonlinear reaction diffusion singular perturbation