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Description
  • Prezentujeme elementární důkaz toho, že pro mnohoznačné zobrazení z R do R s neprázdnými souvislými hodnotami a monotónními marginálními funkcemi existence periodické orbity libovolného řádu k>1 implikuje existenci periodických orbit všech řádů. Tím zobecňujeme nedávný výsledek F. Obersnela a P. Omariho, který byl získán v termínech skalárních obyčejných diferenciálních rovnic pomocí techniky dolních a horních řešení. (cs)
  • We present an elementary proof that, for a multivalued map from R to R with nonempty connected values and monotone margins, the existence of a periodic orbit of any order k>1 implies the existence of periodic orbits of all orders. This generalizes a very recent result of this type in terms of scalar ordinary differential equations without uniqueness, due to F.~Obersnel and P.~Omari, obtained by means of lower and upper solutions technique.
  • We present an elementary proof that, for a multivalued map from R to R with nonempty connected values and monotone margins, the existence of a periodic orbit of any order k>1 implies the existence of periodic orbits of all orders. This generalizes a very recent result of this type in terms of scalar ordinary differential equations without uniqueness, due to F.~Obersnel and P.~Omari, obtained by means of lower and upper solutions technique. (en)
Title
  • Period two implies all periods for a class of ODES: A multivalued approach
  • Perioda dvě implikuje všechny periody pro třídu ODES: mnohoznačný přístup (cs)
  • Period two implies all periods for a class of ODES: A multivalued approach (en)
skos:prefLabel
  • Period two implies all periods for a class of ODES: A multivalued approach
  • Perioda dvě implikuje všechny periody pro třídu ODES: mnohoznačný přístup (cs)
  • Period two implies all periods for a class of ODES: A multivalued approach (en)
skos:notation
  • RIV/61989592:15310/07:00004739!RIV08-MSM-15310___
http://linked.open.../vavai/riv/strany
  • 3187-3191
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 10
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 440991
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/07:00004739
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • periodic orbits; multivalued maps; monotone margins; Sharkovskii's theorem; ordinary differential equations without uniqueness; subharmonic solutions (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [A13BD3E41D11]
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the American Mathematical Society
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 135
http://linked.open...iv/tvurceVysledku
  • Andres, Jan
  • Fürst, Tomáš
  • Pastor, Karel
http://linked.open...n/vavai/riv/zamer
issn
  • 0002-9939
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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