一类具有小离散时滞的反应扩散方程行波解的存在性  

Traveling Wavefront Solutions for Reaction-Diffusion Equation with Small Delay

作　　者：孙翠娜[1] 赵志红[1] 马万彪[1] 

机构地区：[1]北京科技大学数理学院,北京100083

出　　处：《数学的实践与认识》2013年第17期237-241,共5页Mathematics in Practice and Theory

基　　金：高等学校博士点专项基金(20020558092)

摘　　要：主要研究了具有小时滞且带有线性项的反应扩散方程的波前解的存在性我们运用惯性流行理论进行证明,从而避免了对反应项是单调或拟反调的假设.The existence of traveling wave for a class of reaction-diffution equation with small descrete delay is studied, where the reaction decomposed into a linear term and a nonlinear term with delay. We mainly use the inertial manifold theory and the reaction term does not has monotonous or quasimonotones, when delay is small enough.

关 键 词：线性项 反应扩散方程 离散时滞 惯性流型 

分 类 号：O175.2[理学—数学]