RT info:eu-repo/semantics/article
T1 Principal Floquet subspaces and exponential separations of type II with applications to random delay differential equations
A1 Mierczynski, Janusz
A1 Novo, Sylvia
A1 Obaya, Rafael
K1 Random dynamical systems
K1 focusing property
K1 generalized exponential separation
AB This paper deals with the study of principal Lyapunov exponents, principal Floquet subspaces, and exponential separation for positive random linear dynamical systems in ordered Banach spaces. The main contribution lies in the introduction of a new type of exponential separation, called of type II, important for its application to  random differential equations with delay. Under weakened assumptions, the existence of an exponential separation of type II in an abstract general setting is shown, and an illustration of its application to dynamical systems generated by scalar linear random delay differential equations with finite delay is given.
PB American Institute of Mathematical Sciences
SN 1078-0947
YR 2018
FD 2018
LK http://uvadoc.uva.es/handle/10324/33485
UL http://uvadoc.uva.es/handle/10324/33485
LA eng
NO Discrete and Continuous Dynamical Systems, 2018, vol.  38, n. 12, p. 6163-6193
NO Producción Científica
DS UVaDOC
RD 23-dic-2024