中立型反应扩散方程的波前解  

Traveling Wave Fronts for Reaction Diffusion Systems of the Neutral Typ

作　　者：武红艳 WU Hong-yan(School of Mathematics and Physics,Jinzhong University,Jinzhong 030619,China)

机构地区：[1]晋中学院数理学院,山西晋中030619

出　　处：《数学的实践与认识》2020年第11期260-264,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11471197)。

摘　　要：关于时滞反应扩散方程行波解的结果很多,但中立型时滞反应扩散方程行波解的研究却很少,在反应项是拟单调的条件下,通过定义上下解和构造单调迭代序列,得到了中立型时滞反应扩散方程波前解的存在性.Many results about traveling wave front for reaction diffusion systems with delay have been obtained,but few studies about traveling wave front for reaction diffusion systems of the neutral type have been done.Existence of traveling wave front for reaction diffusion systems of the neutral type is obtained by defining the upper and lower solutions and constructing monotone iteration equations when the reaction term satisfies the quasimonotonicity condition.

关 键 词：中立型 行波解 上下解方法 单调迭代 

分 类 号：O175[理学—数学]