About: q-regular variation and q-difference equations

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We introduce the concept of $q$-regularly varying functions and establish basic properties of such functions. Among others it is shown that considering regular variation in $q$-calculus is somehow natural and leads to interesting observations and simplifications comparing with classical continuous and discrete theories. The obtained theory is applied to an investigation of asymptotic behavior of solutions to linear second order $q$-difference equations. We introduce the concept of $q$-regularly varying functions and establish basic properties of such functions. Among others it is shown that considering regular variation in $q$-calculus is somehow natural and leads to interesting observations and simplifications comparing with classical continuous and discrete theories. The obtained theory is applied to an investigation of asymptotic behavior of solutions to linear second order $q$-difference equations. (en)
Title	q-regular variation and q-difference equations q-regular variation and q-difference equations (en)
skos:prefLabel	q-regular variation and q-difference equations q-regular variation and q-difference equations (en)
skos:notation	RIV/00216305:26220/08:PU88398!RIV15-GA0-26220___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/07/0145), P(KJB100190701), Z(AV0Z10190503), Z(MSM0021630503)
http://linked.open...iv/cisloPeriodika	495203
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Vítovec, Jiří
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	391153
http://linked.open...ai/riv/idVysledku	RIV/00216305:26220/08:PU88398
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	q-calculus, regularly varying function, q-difference equation, asymptotic behavior (en)
http://linked.open.../riv/klicoveSlovo	asymptotic behavior q-difference equation regularly varying function q-calculus
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[713BACAEABD9]
http://linked.open...i/riv/nazevZdroje	Journal of Physics A-Mathematical and Theoretical
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (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	2008
http://linked.open...v/svazekPeriodika	41
http://linked.open...iv/tvurceVysledku	Vítovec, Jiří Řehák, Pavel
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi Nové trendy v mikroelektronických systémech a nanotechnologiích (MIKROSYN)
issn	1751-8113
number of pages	10 (xsd:int)
http://localhost/t...ganizacniJednotka	26220

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