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Statements

Subject Item
n2:RIV%2F67985556%3A_____%2F12%3A00377979%21RIV13-AV0-67985556
rdf:type
n6:Vysledek skos:Concept
dcterms:description
A wide class of non-autonomous nonlinear parabolic partial differential equations with delay is studied. We allow in our investigations different types of delays such as constant, time- dependent, state-dependent (both discrete and distributed) to be presented simultaneously. The main difficulties arise due to the presence of discrete state-dependent delays since the nonlinear delay term is not Lipschitz on the space of continuous functions. We find conditions for the local existence, uniqueness and study the invariance principle. A wide class of non-autonomous nonlinear parabolic partial differential equations with delay is studied. We allow in our investigations different types of delays such as constant, time- dependent, state-dependent (both discrete and distributed) to be presented simultaneously. The main difficulties arise due to the presence of discrete state-dependent delays since the nonlinear delay term is not Lipschitz on the space of continuous functions. We find conditions for the local existence, uniqueness and study the invariance principle.
dcterms:title
Local Properties of Solutions to Non-Autonomous Parabolic PDEs with State-Dependent Delays Local Properties of Solutions to Non-Autonomous Parabolic PDEs with State-Dependent Delays
skos:prefLabel
Local Properties of Solutions to Non-Autonomous Parabolic PDEs with State-Dependent Delays Local Properties of Solutions to Non-Autonomous Parabolic PDEs with State-Dependent Delays
skos:notation
RIV/67985556:_____/12:00377979!RIV13-AV0-67985556
n6:predkladatel
n12:ico%3A67985556
n4:aktivita
n9:P n9:I
n4:aktivity
I, P(GAP103/12/2431)
n4:cisloPeriodika
2
n4:dodaniDat
n5:2013
n4:domaciTvurceVysledku
Rezunenko, Oleksandr V.
n4:druhVysledku
n11:J
n4:duvernostUdaju
n13:S
n4:entitaPredkladatele
n16:predkladatel
n4:idSjednocenehoVysledku
147315
n4:idVysledku
RIV/67985556:_____/12:00377979
n4:jazykVysledku
n15:eng
n4:klicovaSlova
partial differential equations; state-dependent delay; invariance principle
n4:klicoveSlovo
n14:state-dependent%20delay n14:invariance%20principle n14:partial%20differential%20equations
n4:kodStatuVydavatele
US - Spojené státy americké
n4:kontrolniKodProRIV
[0404058E6424]
n4:nazevZdroje
Journal of Abstract Differential Equations and Applications
n4:obor
n17:BC
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
1
n4:projekt
n7:GAP103%2F12%2F2431
n4:rokUplatneniVysledku
n5:2012
n4:svazekPeriodika
2
n4:tvurceVysledku
Rezunenko, Oleksandr V.
s:issn
2158-611X
s:numberOfPages
16