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LONG-TIME BEHAVIOR OF A CLASS OF REACTION DIFFUSION EQUATIONS WITH TIME DELAYS
引用本文:Zhao Shufen Huang Jianhua (Dept. of Math.,National University of Defense Technology,Changsha 410073). LONG-TIME BEHAVIOR OF A CLASS OF REACTION DIFFUSION EQUATIONS WITH TIME DELAYS[J]. Annals of Differential Equations, 2006, 0(3)
作者姓名:Zhao Shufen Huang Jianhua (Dept. of Math.  National University of Defense Technology  Changsha 410073)
作者单位:Dept. of Math.,National University of Defense Technology,Changsha 410073
基金项目:This program was supported by NSFC(10571175).
摘    要:The present paper devotes to the long-time behavior of a class of reaction diffusion equations with delays under Dirichlet boundary conditions. The stability and global attractability for the zero solution are provided, and the existence, stability and attractability for the positive stationary solution are also obtained.


LONG-TIME BEHAVIOR OF A CLASS OF REACTION DIFFUSION EQUATIONS WITH TIME DELAYS
Zhao Shufen Huang Jianhua. LONG-TIME BEHAVIOR OF A CLASS OF REACTION DIFFUSION EQUATIONS WITH TIME DELAYS[J]. 微分方程年刊(英文版), 2006, 0(3)
Authors:Zhao Shufen Huang Jianhua
Abstract:The present paper devotes to the long-time behavior of a class of reaction diffusion equations with delays under Dirichlet boundary conditions. The stability and global attractability for the zero solution are provided, and the existence, stability and attractability for the positive stationary solution are also obtained.
Keywords:positive stationary solution   upper and lower solution   stability   attractability
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