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SINGULAR PERTURBATION OF INITIAL BOUNDARY VALUE FROBLEMS OF REACTION DIFFUSlON EQUATION WITH DELAY
作者姓名:张祥
摘    要:SINGULARPERTURBATIONOFINITIALBOUNDARYVALUEFROBLEMSOFREACTIONDIFFUSlONEQUATIONWITHDELAYZhangXiang(张祥)(AnhuiNormalUniversity)Wu...


SINGULAR PERTURBATION OF INITIAL BOUNDARY VALUE FROBLEMSOF REACTION DIFFUSlON EQUATION WITH DELAY
Zhang Xiang.SINGULAR PERTURBATION OF INITIAL BOUNDARY VALUE FROBLEMS OF REACTION DIFFUSlON EQUATION WITH DELAY[J].Applied Mathematics and Mechanics(English Edition),1994(3).
Authors:Zhang Xiang
Institution:Anhui Normal University
Abstract:In this paper we consider the initial-boundary value problems for a class ofapplications, such as biomathematics and biochemistry.Applying the method ofcomposile expansion we construct the formally asymptotic solution of the problemdescribed. With the help of theory of upper and lower solutions we prove the uniformlyvalidity of the formal solution and the existence of solution of the original problem.
Keywords:singular perturbation  reaction diffusion equation  delay  upperand lower solutions  uniformly validity
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