RT info:eu-repo/semantics/article
T1 Topologies of Llocp type for Carathéodory functions with applications in non-autonomous differential equations
A1 Longo, Iacopo Paolo
A1 Novo, Sylvia
A1 Obaya, Rafael
K1 Carathéodory functions
K1 non-autonomous Carathéodory differential equations
K1 continuous dependence on initial data
K1 linearized skew-product semiflow
AB Metric topological vector spaces of Carathéodory functions and topologies of  Llocp  type are introduced, depending on a suitable set of moduli of continuity. Theorems of continuous dependence on initial data for the solutions of non-autonomous Carathéodory differential equations are proved in such new topological structures. As a consequence, new families of continuous linearized skew-product semiflows are provided in the Carathéodory spaces.
PB Elsevier
SN 0022-0396
YR 2017
FD 2017
LK http://uvadoc.uva.es/handle/10324/25579
UL http://uvadoc.uva.es/handle/10324/25579
LA eng
NO Journal of Differential Equations, in press
NO Producción Científica
DS UVaDOC
RD 26-abr-2024