一类非线性微分-积分时滞反应扩散系统奇摄动问题的广义解

Abstract

Abstract:

A class of nonlinear differential-integral system for the singular perturbation generalized reaction diffusion equations with time delay is considered. Under suitable conditions, the asymptotic expansions of generalized solution to the initial boundary problem is obtained by using the singular perturbation method. And the theory of differential inequality for generalized solution is constructed. Corresponding existence and the uniformly validity of the asymptotic expansion for the solution are proved.

Key words: Reaction diffusion, Singular perturbation, Nonlinear system

CLC Number:

O175.29

Xianglin Han,Weigang Wang,Jiaqi Mo. Generalized Solution to the Singular Perturbation Problem for a Class of Nonlinear Differential-Integral Time Delay Reaction Diffusion System[J].Acta mathematica scientia,Series A, 2019, 39(2): 297-306.

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References 18

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Generalized Solution to the Singular Perturbation Problem for a Class of Nonlinear Differential-Integral Time Delay Reaction Diffusion System

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