About: A critical oscillation constant as a variable of time scales for half-linear dynamic equations

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We present criteria of Hille-Nehari type for the half-linear dynamic equation on time scales. As a particular important case we get that there is a a (sharp) critical constant which may be different from what is known from the continuous case, and its value depends on the graininess of a time scale and on the coefficient at the differential term. As applications we state criteria for strong (non)oscillation, examine generalized Euler type equations, and establish criteria of Kneser type. Examples from q-calculus, a Hardy type inequality with weights, and further possibilities for study are presented as well. Our results unify and extend many existing results from special cases, and are new even in the well-studied discrete case. We present criteria of Hille-Nehari type for the half-linear dynamic equation on time scales. As a particular important case we get that there is a a (sharp) critical constant which may be different from what is known from the continuous case, and its value depends on the graininess of a time scale and on the coefficient at the differential term. As applications we state criteria for strong (non)oscillation, examine generalized Euler type equations, and establish criteria of Kneser type. Examples from q-calculus, a Hardy type inequality with weights, and further possibilities for study are presented as well. Our results unify and extend many existing results from special cases, and are new even in the well-studied discrete case. (en)
Title	A critical oscillation constant as a variable of time scales for half-linear dynamic equations A critical oscillation constant as a variable of time scales for half-linear dynamic equations (en)
skos:prefLabel	A critical oscillation constant as a variable of time scales for half-linear dynamic equations A critical oscillation constant as a variable of time scales for half-linear dynamic equations (en)
skos:notation	RIV/00216224:14410/10:00057178!RIV13-GA0-14410___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/07/0145), P(KJB100190701), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Řehák, Pavel
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	Masarykova univerzita / Pedagogická fakulta
http://linked.open...dnocenehoVysledku	244574
http://linked.open...ai/riv/idVysledku	RIV/00216224:14410/10:00057178
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	dynamic equation; time scale; half-linear equation; (non)oscillation criteria; Hille-Nehari criteria; Kneser criteria; critical constant; oscillation constant; Hardy inequality (en)
http://linked.open.../riv/klicoveSlovo	time scale oscillation constant half-linear equation Hardy inequality (non)oscillation criteria Hille-Nehari criteria Kneser criteria critical constant dynamic equation
http://linked.open...odStatuVydavatele	SK - Slovenská republika
http://linked.open...ontrolniKodProRIV	[3DF88F97EAC6]
http://linked.open...i/riv/nazevZdroje	Mathematica Slovaca
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Difference equations and dynamic equations on time scales II Asymptotics, oscillation, and quadratic functionals in theory of dynamic equations
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	60
http://linked.open...iv/tvurceVysledku	Řehák, Pavel
http://linked.open...ain/vavai/riv/wos	000274746900009
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
issn	0139-9918
number of pages	20 (xsd:int)
http://bibframe.org/vocab/doi	10.2478/s12175-010-0009-7
http://localhost/t...ganizacniJednotka	14410
is http://linked.open...avai/riv/vysledek of	A critical oscillation constant as a variable of time scales for half-linear dynamic equations

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