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arXiv · 1808.04319

Persistence in nonautonomous quasimonotone parabolic partial functional differential equations with delay

Rafael Obaya·Ana M. Sanz
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Abstract

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.

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Rafael Obaya, Ana M. Sanz. 2018-08-13. Persistence in nonautonomous quasimonotone parabolic partial functional differential equations with delay. https://arxiv.org/abs/1808.04319

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