Linear measure functional differential equations with infinite delay

0434085 - MÚ 2015 RIV DE eng J - Článek v odborném periodiku
Monteiro, Giselle Antunes - Slavík, A.
Linear measure functional differential equations with infinite delay.
Mathematische Nachrichten. Roč. 287, 11-12 (2014), s. 1363-1382. ISSN 0025-584X. E-ISSN 1522-2616
Institucionální podpora: RVO:67985840
Klíčová slova: measure functional differential equations * generalized ordinary differential equations * Kurzweil-Stieltjes integral
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.683, rok: 2014
http://onlinelibrary.wiley.com/doi/10.1002/mana.201300048/abstract

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.
Trvalý link: http://hdl.handle.net/11104/0238228