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《Journal of Anhui Normal University(Natural Science)》 2011-06
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Perturbed Problem for a Class of Reaction Diffusion with Time Delay

CHEN Huai-jun(College of Mathematics and Computer Science,Anhui Normal Univesity,Wuhu 241003,China)  
A class of nonlinear singularly perturbed problem for the reaction diffusion system with time delay is considered.Under suitable conditions,firstly,the outer solution of the original problem is obtained;and then,by using the stretched variable the formal asymptotic solution is constructed;finally,from the theory of differential inequalities the uniformly validity of solution for the initial boundary value problem is proved.
【Fund】: Supported by the National Natural Science Foundation of China(40906013);; the Natural Science Foundation fromthe Education Bureau of Anhui Province(KJ2010A128 KJ2010B360)
【CateGory Index】: O175
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 CHEN Huaijun MO Jiaqi (Department of Mathematics,Anhui Normal University,Wuhu 241000;Division of Computational Science,E-Institutes of Shanghai Universities at SJTU,Shanghai 200240);THE ASYMPTOTIC ESTIMATION FOR A CLASS OF BURNING SINGULARLY PERTURBED PROBLEM[J];Journal of Systems Science and Mathematical Sciences;2010-01
2 CHEN Huai-jun1,MO Jia-qi1,2,XIE Feng2,3(1.Department of Mathematics,Anhui Normal University,Wuhu 241000,China;2.Division of Computational Science,E-Institutes of Shanghai Universities at SJTU,Shanghai 200240,China;3.Department of Applied Mathematics,Donghua University,Shanghai 201620,China);The Solvability for Parabolic Equation with Boundary Perturbation[J];Mathematica Applicata;2008-01
【Secondary Citations】
Chinese Journal Full-text Database 6 Hits
1 MO JIA-QI (Anhui Normal University, Wuhu 241000, PRC);SINGULAR PERTURBATION FOR A CLASS OF NONLINEAR REACTION DIFFUSION SYSTEMS[J];中国科学A辑(英文版);1989-11
2 MO Jia-qi (Department of Mathematics, Huzhou Teachers College, Huzhou, Zhejiang, 313000, P. R. China);The Singularly Perturbed Generalized Dirichlet Problems for Semilinear Elliptic Equation of Higher Order[J];Advances in Mathematics;2006-01
3 Jia-qi Mo~1, Wan-tao Lin~2 1 Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China. 2 Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;A Nonlinear Singularly Perturbed Problem for Reaction Diffusion Equations with Boundary Perturbation[J];应用数学学报(英文版);2005-01
4 Jia-qi Mo~(1,2) Wan-tao Lin~31 Department of Mathematics,Huzhou Teachers College,Huzhou 313000,China2 Division of Computational Science,E-Institutes of Shanghai Universities at SJTU,Shanghai 200240,China3 LASC,Institute of Atmosheric Physics,Chinese Academy of Sciences,Beijing 100029,China;The Nonlinear Singularly Perturbed Initial Boundary Value Problems of Nonlocal Reaction Diffusion Systems[J];应用数学学报(英文版);2006-02
5 MO Jiaqi 1*, ZHU Jiang 2 and WANG Hui 3(1. Department of Mathemtics, Anhui Normal University, Wuhu 241000, China; 2. ICEES, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; 3. National Natural Science Foundation of China, Beijing 100085, China);Asymptotic behavior of the shock solution for a class of nonlinear equations[J];自然科学进展(英文版);2003-10
6 MO Jiaqi, LIN Wantao and WANG Hui ( Department of Mathematics, Anhui Normal University, Wuhu 241000, China; Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China; LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; Chinese Academy of Meteorological Sciences, Beijing 100081, China);Variational iteration solving method of a sea-air oscillator model for the ENSO[J];自然科学进展(英文版);2007-02
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