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Persistence in non-autonomous quasimonotone parabolic partial functional differential equations with delay

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    * Corresponding author 

Dedicated to Peter E. Kloeden on the occasion of his 70th birthday

The authors were partly supported by MINECO/FEDER grant MTM2015-66330-P, and the European Commission under project H2020-MSCA-ITN-2014 643073 CRITICS

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  • This paper provides a dynamical frame to study non-autonomous parabolic partial differential equations with finite delay. Assuming monotonicity of the linearized semiflow, conditions for the existence of a continuous separation of type Ⅱ over a minimal set are given. Then, practical criteria for the uniform or strict persistence of the systems above a minimal set are obtained.

    Mathematics Subject Classification: 35K58, 37B55, 37C60, 37C65.


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