具有时滞和超前反应扩散方程的行波解  

Traveling Wave Fronts of Reaction Diffusion Systems with Retardation and Anticipation

作　　者：武红艳[1] 

机构地区：[1]晋中学院数学学院,山西晋中030619

出　　处：《太原师范学院学报（自然科学版）》2015年第4期12-13,17,共3页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：现在时滞反应扩散方程行波解的研究越来越广泛,但是同时具有时滞和超前的反应扩散方程结果却很少.文章通过定义上下解和构造单调迭代序列,在反应项是拟单调的条件下,得到了具有双时滞和超前反应扩散方程波前解的存在性.Many results about traveling wave fronts of reaction-diffusion systems with de lay are obtained, but traveling wave fronts of reaction diffusion systems with retardation and an ticipation are hardly considered. Existence of traveling wave front is obtained by defining the up per and lower solutions and constructing monotone iteration equations when the reaction term sat isfies the quasi-monotonicity condition.

关 键 词：具有时滞和超前的反应扩散方程 行波解 上下解方法 单调迭代技术 

分 类 号：O175.14[理学—数学]