2004 Integrated semigroup associated to a linear delay differential equation with impulses
O. Arino, M. Bachar
Differential Integral Equations 17(3-4): 407-442 (2004). DOI: 10.57262/die/1356060439

Abstract

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.

Citation

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O. Arino. M. Bachar. "Integrated semigroup associated to a linear delay differential equation with impulses." Differential Integral Equations 17 (3-4) 407 - 442, 2004. https://doi.org/10.57262/die/1356060439

Information

Published: 2004
First available in Project Euclid: 21 December 2012

zbMATH: 1174.34504
MathSciNet: MR2037984
Digital Object Identifier: 10.57262/die/1356060439

Subjects:
Primary: 34K45
Secondary: 34K06 , 47D62 , 47N20

Rights: Copyright © 2004 Khayyam Publishing, Inc.

Vol.17 • No. 3-4 • 2004
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