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  • The relationship between Carathéodory almost-periodic solutions and their discretizations is clarified for differential equations and inclusions in Banach spaces. Our investigation was stimulated by an old result of G. H. Meisters about Bohr almost-periodic solutions which we generalize in several directions. Unlike for functions, Stepanov and Bohr almost-periodic sequences are shown to coincide. A particular attention is paid to purely (i.e. non-uniformly continuous) Stepanov almost-periodic solutions. Many ideas are explained in detail by means of illustrating examples.
  • The relationship between Carathéodory almost-periodic solutions and their discretizations is clarified for differential equations and inclusions in Banach spaces. Our investigation was stimulated by an old result of G. H. Meisters about Bohr almost-periodic solutions which we generalize in several directions. Unlike for functions, Stepanov and Bohr almost-periodic sequences are shown to coincide. A particular attention is paid to purely (i.e. non-uniformly continuous) Stepanov almost-periodic solutions. Many ideas are explained in detail by means of illustrating examples. (en)
Title
  • On Stepanov almost-periodic oscillations and their discretizations
  • On Stepanov almost-periodic oscillations and their discretizations (en)
skos:prefLabel
  • On Stepanov almost-periodic oscillations and their discretizations
  • On Stepanov almost-periodic oscillations and their discretizations (en)
skos:notation
  • RIV/61989592:15310/12:33138552!RIV13-MSM-15310___
http://linked.open...avai/riv/aktivita
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  • Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 10
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  • 156340
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  • RIV/61989592:15310/12:33138552
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  • differential equations and inclusions in Banach spaces.; non-uniformly continuous solutions; almost-periodic sequences; Stepanov almost-periodic oscillations (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [CFF8ACE00FB8]
http://linked.open...i/riv/nazevZdroje
  • Journal of Difference Equations and Applications
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 18
http://linked.open...iv/tvurceVysledku
  • Andres, Jan
  • Pennequin, Denis
http://linked.open...ain/vavai/riv/wos
  • 000309279900004
http://linked.open...n/vavai/riv/zamer
issn
  • 1023-6198
number of pages
http://bibframe.org/vocab/doi
  • 10.1080/10236198.2011.587813
http://localhost/t...ganizacniJednotka
  • 15310
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