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Inertial manifolds with delay for retarded semilinear parabolic equations

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  • 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.
    Mathematics Subject Classification: Primary: 35B40, 35R10, 58D25.

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