一类非线性反应扩散方程解的渐近性态  

Asymptotic behavior of solutions of a class of nonlinear reaction diffusion equations

作　　者：李传贞[1] 王荣年[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2002年第1期16-18,共3页Journal of Northwest Normal University(Natural Science)

摘　　要：利用上下解方法和Lyapunov函数讨论了非线性反应扩散方程ut -dΔu =-λuf(u) 的解的渐近性态 .在反应项满足一定条件时 。The asymptotic behavior of solutions of the following nonlinear reaction diffusion equationsu t-dΔu=-λuf(u)is considered by using the method of upper and lower solutions and Lyapunov functions.A threshold-type result is obtained in the case that its reaction term satisfies some conditions.

关 键 词：渐近性态 上下解 LYAPUNOV函数 非线性反应扩散方程 

分 类 号：O175.29[理学—数学]