Differential and Integral Equations

Generalized ODE approach to impulsive retarded functional differential equations

Márcia Federson and Štefan Schwabik

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


It is known that retarded functional differential equations (RFDEs) can be regarded as generalized ordinary differential equations (we write GODEs). See [2, 6, 7]. In this paper, we prove the equivalence between RFDEs with pre-assigned moments of impulse effects and a certain class of GODEs introduced in [8] using some ideas of [2, 6, 7]. We state results on the existence, uniqueness and continuous dependence of solutions for this class of GODEs and we use them to obtain fine results concerning the corresponding impulsive RFDEs.

Article information

Differential Integral Equations, Volume 19, Number 11 (2006), 1201-1234.

First available in Project Euclid: 21 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34K05: General theory
Secondary: 34A12: Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions 34A37: Differential equations with impulses 34K45: Equations with impulses


Federson, Márcia; Schwabik, Štefan. Generalized ODE approach to impulsive retarded functional differential equations. Differential Integral Equations 19 (2006), no. 11, 1201--1234. https://projecteuclid.org/euclid.die/1356050300

Export citation