Asymptotic Behavior of Nonlinear Parabolic Partial Functional Differential Equations
Received:November 21, 2000  
Key Words: stable region   boundedness   upper-lower solution.  
Fund Project:Supported by NNSFC (19771059) and Education Bureau of Sichuan Province (01LA43)
Author NameAffiliation
LI Shu-yong School of Science
Xi'an Jiaotong University
Shaanxi
China 
XU Dao-yi Dept. of Math.
Sichuan Normal University
Chengdu
Sichuan University
China 
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Abstract:
      This paper is devoted to the investigation of the asymptotic behavior for a class of nonlinear parabolic partial functional differential equations. The boundedness and stability of the solutions are established by the upper-lower solution method. Some conditions are obtained by using the semigroup theory, the properties of nonnegative matrices and the techniques of inequalities to determine the asymptotically stable region of the equilibrium.
Citation:
DOI:10.3770/j.issn:1000-341X.2003.03.011
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