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Description
  • We use the theory of generalized linear ordinary differential equations in Banach spaces to study linear measure functional differential equations with infinite delay. We obtain new results concerning the existence, uniqueness, and continuous dependence of solutions. Even for equations with a finite delay, our results are stronger than the existing ones. Finally, we present an application to functional differential equations with impulses.
  • We use the theory of generalized linear ordinary differential equations in Banach spaces to study linear measure functional differential equations with infinite delay. We obtain new results concerning the existence, uniqueness, and continuous dependence of solutions. Even for equations with a finite delay, our results are stronger than the existing ones. Finally, we present an application to functional differential equations with impulses. (en)
Title
  • Linear measure functional differential equations with infinite delay
  • Linear measure functional differential equations with infinite delay (en)
skos:prefLabel
  • Linear measure functional differential equations with infinite delay
  • Linear measure functional differential equations with infinite delay (en)
skos:notation
  • RIV/00216208:11320/14:10283511!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • I
http://linked.open...iv/cisloPeriodika
  • 11-12
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  • 26259
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  • RIV/00216208:11320/14:10283511
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  • continuous dependence; existence and uniqueness; infinite delay; impulsive functional differential equations; Kurzweil-Stieltjes integral; generalized ordinary differential equations; Measure functional differential equations (en)
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  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [6743F12D7CBA]
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  • Mathematische Nachrichten
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  • 287
http://linked.open...iv/tvurceVysledku
  • Slavík, Antonín
  • Antunes Monteiro, Giselle
http://linked.open...ain/vavai/riv/wos
  • 000340379600011
issn
  • 0025-584X
number of pages
http://bibframe.org/vocab/doi
  • 10.1002/mana.201300048
http://localhost/t...ganizacniJednotka
  • 11320
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