RT info:eu-repo/semantics/article
T1 Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations
A1 Kryspin, Marek
A1 Mierczyński, Janusz
A1 Obaya, Rafael
A1 Novo, Sylvia
K1 Differential equations
K1 Random equations
AB This paper deals with the exponential separation of type II, an important concept for random systems of differential equations with delay, introduced in Mierczyński et al. [18]. Two different approaches to its existence are presented. The state space X will be a separable ordered Banach space with, dual space, and positive cone normal and reproducing. In both cases, appropriate cooperativity and irreducibility conditions are assumed to provide a family of generalized Floquet subspaces. If in addition is also separable, one obtains an exponential separation of type II. When this is not the case, but there is an Oseledets decomposition for the continuous semiflow, the same result holds. Detailed examples are given for all the situations, including also a case where the cone is not normal.
PB Royal Society of Edinburgh
SN 0308-2105
YR 2025
FD 2025
LK https://uvadoc.uva.es/handle/10324/76100
UL https://uvadoc.uva.es/handle/10324/76100
LA eng
NO Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2025, p. 1-39
NO Producción Científica
DS UVaDOC
RD 25-jun-2025