Integrated semigroup associated to a linear delay differential equation with impulses. Bachar, M. & Arino, O. Differential and Integral Equations, 17(3-4):407-442, 2004. abstract bibtex 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{BacharArino2004,
author = {Bachar, M. and Arino, Ovide},
title = {Integrated semigroup associated to a linear delay differential equation with impulses},
journal = {Differential and Integral Equations},
year = {2004},
volume = {17},
number = {3-4},
pages = {407-442},
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.},
pdf = {BacharArino-2004-DIE17.pdf},
}
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