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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F13%3A00066375%21RIV14-GA0-14310___
rdf:type
skos:Concept n10:Vysledek
dcterms:description
Oscillation of a certain nonlinear differential equation involving the so called Phi-Laplacian - an increasing odd homeomorphism, is considered. We extend previous results, stated for equations with the classical p-Laplacian, by obtaining necessary and sufficient conditions of integral type for the oscillation. The role of the boundedness of Im Phi [Dom Phi] is analysed in detail. Our results includes the case Phi*(Phi) linear near zero or near infinity, where Phi* is the inverse of Phi. Several examples, concerning the curvature or relativity operator, illustrate our results. Oscillation of a certain nonlinear differential equation involving the so called Phi-Laplacian - an increasing odd homeomorphism, is considered. We extend previous results, stated for equations with the classical p-Laplacian, by obtaining necessary and sufficient conditions of integral type for the oscillation. The role of the boundedness of Im Phi [Dom Phi] is analysed in detail. Our results includes the case Phi*(Phi) linear near zero or near infinity, where Phi* is the inverse of Phi. Several examples, concerning the curvature or relativity operator, illustrate our results.
dcterms:title
Oscillation of a class of differential equations with generalized phi-Laplacian Oscillation of a class of differential equations with generalized phi-Laplacian
skos:prefLabel
Oscillation of a class of differential equations with generalized phi-Laplacian Oscillation of a class of differential equations with generalized phi-Laplacian
skos:notation
RIV/00216224:14310/13:00066375!RIV14-GA0-14310___
n10:predkladatel
n11:orjk%3A14310
n4:aktivita
n16:P
n4:aktivity
P(GAP201/11/0768)
n4:cisloPeriodika
3
n4:dodaniDat
n9:2014
n4:domaciTvurceVysledku
n8:4315723
n4:druhVysledku
n17:J
n4:duvernostUdaju
n18:S
n4:entitaPredkladatele
n15:predkladatel
n4:idSjednocenehoVysledku
94682
n4:idVysledku
RIV/00216224:14310/13:00066375
n4:jazykVysledku
n13:eng
n4:klicovaSlova
Oscillation; Phi-Laplacian; integral oscillation conditions
n4:klicoveSlovo
n7:Oscillation n7:Phi-Laplacian n7:integral%20oscillation%20conditions
n4:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n4:kontrolniKodProRIV
[D7DE945AC072]
n4:nazevZdroje
Proc. Roy. Soc. Edinburgh
n4:obor
n5:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
3
n4:projekt
n19:GAP201%2F11%2F0768
n4:rokUplatneniVysledku
n9:2013
n4:svazekPeriodika
143
n4:tvurceVysledku
Cecchi, Mariella Marini, Mauro Došlá, Zuzana
n4:wos
000324527800003
s:issn
0308-2105
s:numberOfPages
14
n6:doi
10.1017/S0308210511001156
n20:organizacniJednotka
14310