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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F13%3A00397163%21RIV14-AV0-67985840
rdf:type
skos:Concept n9:Vysledek
dcterms:description
Sufficient conditions are established guaranteeing the existence of a positive periodic solution to the Liénard type equation with singularities in the phase variable at zero. The results obtained are rewritten for the particular type of the equation which covers also the so-called Rayleigh-Plesset equation, frequently used in fluid mechanics to model the bubbel dynamics in liquid. In the paper, there is studied the case with the attractive singularity in the phase variable. The results obtained assure that there exists a positive periodic solution to the above-mentioned equation if the power of the singularity is sufficiently large. Sufficient conditions are established guaranteeing the existence of a positive periodic solution to the Liénard type equation with singularities in the phase variable at zero. The results obtained are rewritten for the particular type of the equation which covers also the so-called Rayleigh-Plesset equation, frequently used in fluid mechanics to model the bubbel dynamics in liquid. In the paper, there is studied the case with the attractive singularity in the phase variable. The results obtained assure that there exists a positive periodic solution to the above-mentioned equation if the power of the singularity is sufficiently large.
dcterms:title
Periodic solutions to the Liénard type equations with phase attractive singularities Periodic solutions to the Liénard type equations with phase attractive singularities
skos:prefLabel
Periodic solutions to the Liénard type equations with phase attractive singularities Periodic solutions to the Liénard type equations with phase attractive singularities
skos:notation
RIV/67985840:_____/13:00397163!RIV14-AV0-67985840
n9:predkladatel
n10:ico%3A67985840
n3:aktivita
n8:I
n3:aktivity
I
n3:cisloPeriodika
6 March
n3:dodaniDat
n15:2014
n3:domaciTvurceVysledku
n6:8881642
n3:druhVysledku
n13:J
n3:duvernostUdaju
n4:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
95803
n3:idVysledku
RIV/67985840:_____/13:00397163
n3:jazykVysledku
n18:eng
n3:klicovaSlova
Rayleigh-Plesset equation; singular equation; periodic solution
n3:klicoveSlovo
n11:Rayleigh-Plesset%20equation n11:periodic%20solution n11:singular%20equation
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[EDCD73B476FB]
n3:nazevZdroje
Boundary value problems
n3:obor
n14:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n15:2013
n3:tvurceVysledku
Hakl, Robert Zamora, M.
n3:wos
000325705400003
s:issn
1687-2770
s:numberOfPages
20
n17:doi
10.1186/1687-2770-2013-47