Differential and Integral Equations

Integrated semigroup associated to a linear delay differential equation with impulses

O. Arino and M. Bachar

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In this paper, we discuss the fundamental linear theory for a large class of delay differential equations with impulses. We show, using the general theory of integrated semigroups, that we can associate an integrated semigroup with any delay differential equation with impulses, and we have determined the infinitesimal generator of this integrated semigroup.

Article information

Differential Integral Equations, Volume 17, Number 3-4 (2004), 407-442.

First available in Project Euclid: 21 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34K45: Equations with impulses
Secondary: 34K06: Linear functional-differential equations 47D62: Integrated semigroups 47N20: Applications to differential and integral equations


Bachar, M.; Arino, O. Integrated semigroup associated to a linear delay differential equation with impulses. Differential Integral Equations 17 (2004), no. 3-4, 407--442. https://projecteuclid.org/euclid.die/1356060439

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