Premium
Linear measure functional differential equations with infinite delay
Author(s) -
Monteiro Giselle Antunes,
Slavík Antonín
Publication year - 2014
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201300048
Subject(s) - mathematics , c0 semigroup , measure (data warehouse) , uniqueness , delay differential equation , mathematical analysis , banach space , differential equation , linear differential equation , ordinary differential equation , numerical partial differential equations , differential algebraic equation , computer science , database
We use the theory of generalized linear ordinary differential equations in Banach spaces to study linear measure functional differential equations with infinite delay. We obtain new results concerning the existence, uniqueness, and continuous dependence of solutions. Even for equations with a finite delay, our results are stronger than the existing ones. Finally, we present an application to functional differential equations with impulses.