About: A final result on the oscillation of solutions of the linear discrete delayed equation \Delta x(n)=-p(n)x(n-k) with a positive coefficient

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	A linear $(k+1)$th-order discrete delayed equation $\Delta x(n)=-p(n)x(n-k)$ where $p(n)$ is a positive sequence is considered for $n\to\infty$. This equation is known to have a positive solution if the sequence $p(n)$ satisfies an inequality. Our aim is to show that, in the case of the opposite inequality for $p(n)$, all solutions of the equation considered are oscillating for $n\to\infty$. A linear $(k+1)$th-order discrete delayed equation $\Delta x(n)=-p(n)x(n-k)$ where $p(n)$ is a positive sequence is considered for $n\to\infty$. This equation is known to have a positive solution if the sequence $p(n)$ satisfies an inequality. Our aim is to show that, in the case of the opposite inequality for $p(n)$, all solutions of the equation considered are oscillating for $n\to\infty$. (en)
Title	A final result on the oscillation of solutions of the linear discrete delayed equation \Delta x(n)=-p(n)x(n-k) with a positive coefficient A final result on the oscillation of solutions of the linear discrete delayed equation \Delta x(n)=-p(n)x(n-k) with a positive coefficient (en)
skos:prefLabel	A final result on the oscillation of solutions of the linear discrete delayed equation \Delta x(n)=-p(n)x(n-k) with a positive coefficient A final result on the oscillation of solutions of the linear discrete delayed equation \Delta x(n)=-p(n)x(n-k) with a positive coefficient (en)
skos:notation	RIV/00216305:26220/11:PU93666!RIV12-MSM-26220___
http://linked.open...avai/predkladatel	Fakulta elektrotechniky a komunikačních technologií
http://linked.open...avai/riv/aktivita	P S Z
http://linked.open...avai/riv/aktivity	P(GAP201/10/1032), P(GAP201/11/0768), S, Z(MSM0021630503)
http://linked.open...iv/cisloPeriodika	Article ID
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Baštinec, Jaromír Šmarda, Zdeněk Diblík, Josef
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoké učení technické v Brně / Fakulta elektrotechniky a komunikačních technologií
http://linked.open...dnocenehoVysledku	183795
http://linked.open...ai/riv/idVysledku	RIV/00216305:26220/11:PU93666
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	linear discrete delayed equation, positive sequence, positive solution, opposite inequality, oscillating solution, (en)
http://linked.open.../riv/klicoveSlovo	linear discrete delayed equation opposite inequality oscillating solution positive sequence positive solution
http://linked.open...odStatuVydavatele	FK - Falklandské ostrovy
http://linked.open...ontrolniKodProRIV	[42F831A5C3C2]
http://linked.open...i/riv/nazevZdroje	Abstract and Applied Analysis
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Difference equations and dynamic equations on time scales III Qualitative properties of solutions of differential equations and their applications
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	vol. 2011,
http://linked.open...iv/tvurceVysledku	Baštinec, Jaromír Berezansky, Leonid Diblík, Josef Šmarda, Zdeněk
http://linked.open...n/vavai/riv/zamer	Nové trendy v mikroelektronických systémech a nanotechnologiích (MIKROSYN)
issn	1085-3375
number of pages	28 (xsd:int)
http://localhost/t...ganizacniJednotka	26220
is http://linked.open...avai/riv/vysledek of	A final result on the oscillation of solutions of the linear discrete delayed equation \Delta x(n)=-p(n)x(n-k) with a positive coefficient A final result on the oscillation of solutions of the linear discrete delayed equation \Delta x(n)=-p(n)x(n-k) with a positive coefficient

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