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October  2000, 6(4): 829-840. doi: 10.3934/dcds.2000.6.829

Inertial manifolds with delay for retarded semilinear parabolic equations

A. V. Rezounenko 1,

1. 

Department of Mechanics and Mathematics, Kharkov University, 4 Svobody sqr., 61077, Kharkov, Ukraine

Received  May 1999 Revised  April 2000 Published  August 2000

We consider the system of parabolic equations with distributed delay. The existence of Inertial Manifolds with Delay is proved. We prove that the system has finite number of determining modes and can be reproduced by a finite-dimensional system with concerntrated delays.
Keywords: Inertial manifolds with delay, retarded non-linear PDEs..
Mathematics Subject Classification: Primary: 35B40, 35R10, 58D2.
Citation: A. V. Rezounenko. Inertial manifolds with delay for retarded semilinear parabolic equations. Discrete and Continuous Dynamical Systems, 2000, 6 (4) : 829-840. doi: 10.3934/dcds.2000.6.829
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