About: Remarks on the paper by Sun and Meng, Appl. Math. Comput. 174 (2006)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In the paper the second order half-linear delay differential equation with coefficient r (in the differential term) and c (in the second term) is studied under the condition on the convergence of the integral involving the coefficient r. The oscillation criterion proved by Sun and Meng (2006, Theorem 2.2) is carefully examined and improved by simplifying and sharpening the estimates used in the original proof and removing unnecessary assumptions. Among others, using elementary arguments we show that an arbitrary positive nondecreasing weight function from this criterion can be safely and with no loss of generality replaced by a constant function. An extension to other related equations, such as neutral equations is also provided. In the paper the second order half-linear delay differential equation with coefficient r (in the differential term) and c (in the second term) is studied under the condition on the convergence of the integral involving the coefficient r. The oscillation criterion proved by Sun and Meng (2006, Theorem 2.2) is carefully examined and improved by simplifying and sharpening the estimates used in the original proof and removing unnecessary assumptions. Among others, using elementary arguments we show that an arbitrary positive nondecreasing weight function from this criterion can be safely and with no loss of generality replaced by a constant function. An extension to other related equations, such as neutral equations is also provided. (en)
Title	Remarks on the paper by Sun and Meng, Appl. Math. Comput. 174 (2006) Remarks on the paper by Sun and Meng, Appl. Math. Comput. 174 (2006) (en)
skos:prefLabel	Remarks on the paper by Sun and Meng, Appl. Math. Comput. 174 (2006) Remarks on the paper by Sun and Meng, Appl. Math. Comput. 174 (2006) (en)
skos:notation	RIV/62156489:43410/14:00224973!RIV15-GA0-43410___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GAP201/10/1032)
http://linked.open...iv/cisloPeriodika	1 December 2014
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Mařík, Robert
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	Mendelova univerzita v Brně / Lesnická a dřevařská fakulta
http://linked.open...dnocenehoVysledku	42128
http://linked.open...ai/riv/idVysledku	RIV/62156489:43410/14:00224973
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	half-linear differential equation; oscillation criteria (en)
http://linked.open.../riv/klicoveSlovo	half-linear differential equation oscillation criteria
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[1F9095159743]
http://linked.open...i/riv/nazevZdroje	Applied Mathematics and Computation
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 III
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	248
http://linked.open...iv/tvurceVysledku	Mařík, Robert
http://linked.open...ain/vavai/riv/wos	345124800026
issn	0096-3003
number of pages	5 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.amc.2014.09.100
http://localhost/t...ganizacniJednotka	43410

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