About: Function sequence technique for half-linear dynamic equations on time scales

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We develop the method involving certain function sequences that, combined with the Riccati technique, provides a new tool for investigation of oscillatory properties of half-linear dynamic equations on time scales. As applications, we give various new oscillation and nonoscillation criteria (e.g., of Hille-Nehari type and of Willett type), and comparison theorems. In addition to the aspect of unification and extension, many of the results turn out to be new in the discrete case and in the linear time scale case; some of the observations are new even in the continuous case. An oscillation criterion which applies when ``usual'' criteria fail, and four examples illustrating our results are given as well. We develop the method involving certain function sequences that, combined with the Riccati technique, provides a new tool for investigation of oscillatory properties of half-linear dynamic equations on time scales. As applications, we give various new oscillation and nonoscillation criteria (e.g., of Hille-Nehari type and of Willett type), and comparison theorems. In addition to the aspect of unification and extension, many of the results turn out to be new in the discrete case and in the linear time scale case; some of the observations are new even in the continuous case. An oscillation criterion which applies when ``usual'' criteria fail, and four examples illustrating our results are given as well. (en)
Title	Function sequence technique for half-linear dynamic equations on time scales Function sequence technique for half-linear dynamic equations on time scales (en)
skos:prefLabel	Function sequence technique for half-linear dynamic equations on time scales Function sequence technique for half-linear dynamic equations on time scales (en)
skos:notation	RIV/00216224:14410/06:00015320!RIV10-GA0-14410___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/01/0079), P(GA201/04/0580), P(GP201/01/P041), P(KJB1019407), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2010
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	476454
http://linked.open...ai/riv/idVysledku	RIV/00216224:14410/06:00015320
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	half-linear equation; time scale; oscillation criteria (en)
http://linked.open.../riv/klicoveSlovo	time scale oscillation criteria half-linear equation
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[1BC77CA24175]
http://linked.open...i/riv/nazevZdroje	Panamer. Math. J.
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	Qualitative theory of solutions of difference equations Difference equations and dynamic equations on time scales Qualitative theory of half-linear differential and difference equations Linear Hamiltonian dynamic systems and half-linear dynamic equations
http://linked.open...UplatneniVysledku	2006
http://linked.open...v/svazekPeriodika	16
http://linked.open...iv/tvurceVysledku	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
issn	1064-9735
number of pages	26 (xsd:int)
http://localhost/t...ganizacniJednotka	14410

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