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The Nonlinear Nonlocal Singularly Perturbed Problems for reaction diffusion Equations with Boundary Perturbation

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Northeastern Mathematical Journal 2006年第2期22卷 143-148页

作者：莫嘉琪 Department of Mathematics Anhui Normal University Wuhu241000 Division of Computational ScienceE-Institutes of Shanghai Universities at SJTUShanghai200240

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

关键词： nonlinear reaction diffusion singular perturbation

THE NONLOCAL PROBLEMS FOR SINGULARLY PERTURBED reaction diffusion SYSTEMS

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Acta Mathematica Scientia 1998年第S1期18卷 78-82页

作者：陈松林莫嘉琪 East China Institute of Metallurgy Maanshan 243002 China Department of Mathematics Anhui Normal University Wuhu 241000 China

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

关键词： reaction diffusion singular perturbation comparison theorem

Nonlinear predator-prey singularly perturbed Robin Problems for reaction diffusion systems

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2003年第5期 10-12页

作者：莫嘉琪韩祥临 Huzhou Teachers College Huzhou Teachers College Huzhou 313000 China

The nonlinear predator-prey reaction diffusion systems for singularly perturbed Robin Problems are considered. Under suitable conditions, the theory of differential inequalities can be used to study the asymptotic beh... 详细信息

关键词： Nonlinear Predator-prey reaction diffusion Singular perturbation

The Singularly Perturbed Nonlinear Nonlocal Initial Boundary Value Problems for reaction diffusion Equations

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Northeastern Mathematical Journal 2006年第3期22卷 260-264页

作者：莫嘉琪 Department of Mathematics Anhui Normal University Division of Computational Science E-Institutes of Shanghai Universities at SJTUShanghai200240

The singularly perturbed nonlinear noniocal initial boundary value problem for reaction diffusion equations is discussed. Under suitable conditions, the outer solution of the original problem is obtained. By using the stretched variable, the composing expansion method and the expanding theory of power series the initial layer is constructed. By using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems are studied, and by educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation are considered.

关键词： nonlinearity singular perturbation reaction diffusion initial boundary value problem

Singularly Perturbed Differential-Difference reaction diffusion Equations with Time Delay

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Journal of Shanghai Jiaotong university(Science) 2009年第5期14卷 629-631页

作者：莫嘉琪 Anhui Normal University Division of Computational Science E-Institutes of Shanghai UniversitiesShanghai Jaotong University

A class of differential-difference reaction diffusion equations with a small time delay is *** suitable conditions and by using the method of the stretched variable,the formal asymptotic solution is *** then,by using ... 详细信息

关键词： nonlinear reaction diffusion singular perturbation time delay

ASYMPTOTIC SOLUTION FOR A CLASS OF WEAKLY NONLINEAR SINGULARLY PERTURBED reaction diffusion EQUATION

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Annals of Differential Equations 2006年第4期22卷 535-539页

作者： Mo Jiaqi Wang Hui Lin Wantao Dept. of Math. Anhui Normal University Wuhu 241000 Division of Computational Science E-Institutes of Shanghai Universities at SJTU Shanghai 200240 Chinese Academy of Meteorological Sciences Beijing 100081 LASG Institute of Atmospheric Physics Ghinese Academy of Sciences Beijing 100029

In this paper a class of nonlinear reaction diffusion problems are considered. Using the perturbed method, the asymptotic solution for corresponding problem is obtained.

关键词： reaction diffusion perturbation method asymptotic solution

ASYMPTOTIC SOLUTION TO NONLINEAR ECOLOGICAL reaction diffusion SYSTEM

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Annals of Differential Equations 2010年第3期26卷 292-296页

作者： Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240)

Nonlinear ecological species group singularly perturbed initial boundary value problems for reaction diffusion systems are considered. Under suitable conditions, using the theory of differential inequalities, the exis... 详细信息

关键词： nonlinear reaction diffusion singular perturbation

A CLASS OF NONLINEAR PREDATOR-PREY SINGULARLY PERTURBED ROBIN PROBLEMS FOR reaction diffusion SYSTEM

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Annals of Differential Equations 2006年第2期22卷 168-175页

作者： Mo Jiaqi Zhang Weijiang He Ming Yao Jingsun Dept. of Math. Anhui Normal University Wuhu 241000 Dept. of Math. Shanghai Jiaotong University Shanghai 200240 Division of Computational Science E-Institutes of Shanghai Universities at SJTU Shanghai 200240

A class of nonlinear predator-prey singularly perturbed Robin problems for reaction diffusion systems are considered. Under suitable conditions, using the theory of differential inequalities the existence and asymptot... 详细信息

关键词： nonlinear predator-prey reaction diffusion singular perturbation Robin problem

THE NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR reaction diffusion EQUATIONS WITH BOUNDARY PERTURBATION

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Annals of Differential Equations 2005年第2期21卷 177-182页

作者： OuyangCheng MoJiaqi Dept.ofMath. HuzhouTeachersCollegeHuzhou313000

The nonlinear singularly perturbed problems for reaction diffusion equations with boundary perturbation are considered. Under suitable conditions, using the theory of differential inequalities the asymptotic behavior ... 详细信息

关键词： nonlinear reaction diffusion singular perturbation boundary perturbation