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Description
  • We introduce measure functional differential equations with infinite delay and an axiomatically described phase space. We show how to transform these equations into generalized ordinary differential equations whose solutions take values in a suitable infinite-dimensional Banach space. Even in the special case of functional equations with finite delay, our result improves the existing one by imposing weaker conditions on the right-hand side.
  • We introduce measure functional differential equations with infinite delay and an axiomatically described phase space. We show how to transform these equations into generalized ordinary differential equations whose solutions take values in a suitable infinite-dimensional Banach space. Even in the special case of functional equations with finite delay, our result improves the existing one by imposing weaker conditions on the right-hand side. (en)
Title
  • Measure functional differential equations with infinite delay
  • Measure functional differential equations with infinite delay (en)
skos:prefLabel
  • Measure functional differential equations with infinite delay
  • Measure functional differential equations with infinite delay (en)
skos:notation
  • RIV/00216208:11320/13:10131357!RIV14-MSM-11320___
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  • I
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  • March
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  • 86668
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  • RIV/00216208:11320/13:10131357
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  • Phase space; Kurzweil-Stieltjes integral; Regulated functions; Differential equations in Banach spaces; Generalized ordinary differential equations; Measure functional differential equations (en)
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  • GB - Spojené království Velké Británie a Severního Irska
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  • [695E2D7C085A]
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  • Nonlinear Analysis, Theory, Methods and Applications
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  • 79
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  • Slavík, Antonín
http://linked.open...ain/vavai/riv/wos
  • 000313933400012
issn
  • 0362-546X
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.na.2012.11.018
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  • 11320
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