Asymptotic behavior of solutions to quasilinear parabolic equations in a bounded domain

1994 ◽  
Vol 35 (2) ◽  
pp. 306-323 ◽  
Author(s):  
V. L. Kamynin
Keyword(s):  
Asymptotic Behavior ◽  
Bounded Domain ◽  
Parabolic Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Quasilinear Parabolic Equations ◽  
Quasilinear Parabolic

THE EXISTENCE AND ASYMPTOTIC BEHAVIOR OF PERIODIC SOLUTIONS TO A QUASILINEAR PARABOLIC SYSTEM

2013 ◽  
Vol 06 (02) ◽  
pp. 1350010
Author(s):  
WEN-ZHEN GAN
Keyword(s):  
Asymptotic Behavior ◽  
Periodic Solutions ◽  
Parabolic System ◽  
Parabolic Equations ◽  
Global Attractivity ◽  
Robin Boundary Conditions ◽  
Quasilinear Parabolic System ◽  
Quasilinear Parabolic Equations ◽  
Robin Boundary ◽  
Quasilinear Parabolic

In this paper, we investigate the existence, stability and global attractivity of T-periodic solutions for a class of quasilinear parabolic equations under Robin boundary conditions. We obtain that periodic solutions exist if the inter-specific competition rates are weak. The numerical simulations are also presented to illustrate our result.

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