Differential and Integral Equations

Averaging principle for functional differential equations with impulses at variable times via Kurzweil equations

M. Federson and J.G. Mesquita

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Abstract

We consider a large class of retarded functional differential equations subject to impulse effects at variable times, and we present an averaging result for this class of equations by means of the techniques and tools of the theory of generalized ordinary differential equations introduced by J. Kurzweil.

Article information

Source
Differential Integral Equations, Volume 26, Number 11/12 (2013), 1287-1320.

Dates
First available in Project Euclid: 4 September 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1378327427

Mathematical Reviews number (MathSciNet)
MR3129010

Zentralblatt MATH identifier
1313.34234

Subjects
Primary: 34K33: Averaging 34K45: Equations with impulses

Citation

Federson, M.; Mesquita, J.G. Averaging principle for functional differential equations with impulses at variable times via Kurzweil equations. Differential Integral Equations 26 (2013), no. 11/12, 1287--1320. https://projecteuclid.org/euclid.die/1378327427


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