Persistence in nonautonomous quasimonotone parabolic partial functional differential equations with delay
Dynamical Systems
2018-08-14 v1
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.
Cite
@article{arxiv.1808.04319,
title = {Persistence in nonautonomous quasimonotone parabolic partial functional differential equations with delay},
author = {Rafael Obaya and Ana M. Sanz},
journal= {arXiv preprint arXiv:1808.04319},
year = {2018}
}