RT info:eu-repo/semantics/article T1 Persistence in non-autonomous quasimonotone parabolic partial functional differential equations with delay A1 Obaya, Rafael A1 Sanz Gil, Ana María K1 Topological dynamics K1 Skew-product semiflows K1 Continuous separation K1 Partial functional differential equations with finite delay K1 Uniform and strict persistence K1 1202.20 Ecuaciones Diferenciales en derivadas Parciales AB 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. PB American Institute of Mathematical Science SN 1553-524X YR 2019 FD 2019 LK http://uvadoc.uva.es/handle/10324/40083 UL http://uvadoc.uva.es/handle/10324/40083 LA eng NO Discrete and Continuous Dynamical Systems - Series B, Agosto 2019, vol. 24 n. 8, p. 3947-3970. NO Producción Científica DS UVaDOC RD 17-jul-2024