an:06353327
Zbl 1305.34108
Monteiro, Giselle Antunes; Slav??k, Anton??n
Linear measure functional differential equations with infinite delay
EN
Math. Nachr. 287, No. 11-12, 1363-1382 (2014).
00336259
2014
j
34K06 34K45 34K30
measure functional differential equations; infinite delay
Summary: 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.