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  • We prove existence results for a general 2n-th order discrete boundary value problem subjected to periodic conditions. In contrast to published work, we exploit the finite dimension of function spaces and some simple results from matrix theory to construct a nonlinear equation in RN which is eventually studied with the degree theory and simple variational methods. Existence and uniqueness theorems, which are obtained in this way, improve the existing results (even in the second-order case) by including non-continuous right-hand sides, higher-order problems and non-invertible difference operators.
  • We prove existence results for a general 2n-th order discrete boundary value problem subjected to periodic conditions. In contrast to published work, we exploit the finite dimension of function spaces and some simple results from matrix theory to construct a nonlinear equation in RN which is eventually studied with the degree theory and simple variational methods. Existence and uniqueness theorems, which are obtained in this way, improve the existing results (even in the second-order case) by including non-continuous right-hand sides, higher-order problems and non-invertible difference operators. (en)
  • Dokazujeme existenční věty pro diskrétní okrajové úlohy sudého řádu s periodickými okrajovými podmínkami. Na rozdíl od publikovaných prací využíváme konečnou dimenzi funkčních prostorů a některé jednoduché výsledky z teorie matic. Konstruujeme nelineární úlohu v RN, kterou studujeme pomocí stupně zobrazení a variačních metod. Existenční věty a věty o jednoznačnosti, které jsou takto získané vylepšují stávající výsledky (i pro rovnici 2.řádu) tím, že zahrnují nespojité pravé strany, rovnice vyšších řádů a neinvertovatelné diferenční operátory (cs)
Title
  • On variational methods for periodic discrete problems
  • On variational methods for periodic discrete problems (en)
  • Variační metody periodické diskrétní úlohy (cs)
skos:prefLabel
  • On variational methods for periodic discrete problems
  • On variational methods for periodic discrete problems (en)
  • Variační metody periodické diskrétní úlohy (cs)
skos:notation
  • RIV/49777513:23520/08:00500758!RIV09-MSM-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika
  • 3
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
  • 384824
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/08:00500758
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  • Boundary value problem; Difference equations; Variational methods; Degree Theory; Coincidence Degree (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [E238388ECCB6]
http://linked.open...i/riv/nazevZdroje
  • Journal of Difference Equations and Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 14
http://linked.open...iv/tvurceVysledku
  • Stehlík, Petr
http://linked.open...ain/vavai/riv/wos
  • 000254049200002
http://linked.open...n/vavai/riv/zamer
issn
  • 1023-6198
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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