一类非线性时滞反应扩散方程的奇摄动问题  

A class of nonlinear singularly perturbed problems for reaction diffusion equation with time delays

作　　者：李志伟[1] 

机构地区：[1]安徽机电学院应用数理系,安徽芜湖241000

出　　处：《安徽机电学院学报》2001年第3期49-52,共4页Journal of Anhui Institute of Mechanical and Electrical Engineering

摘　　要：讨论了一类具有非线性时滞反应扩散方程的奇摄动问题ε－ (L＋ε L′ )u=f(x,u,u＊ ,ε ). (t,x)∈ [0,T]×Ω， u|t=0=g(x,ε ),x∈Ω ,u=h(t,x,ε )， t∈ [－ε r,0]在一定条件下，利用比较原理得到了问题解的渐近性态 u=(Ut＋ Vi)ε i， 0<ε≤ε0.It concerns about a class of nonlinear problems for the singularly perturbed reaction diffusion equations with time delays. Under certain conditions, using the comparison theorem, the asymptotic behavior of solution for the initial boundary value problems are studied.

关 键 词：奇摄动 非线性时滞反应扩散方程 渐近性 

分 类 号：O175[理学—数学]