About: Local Properties of Solutions to Non-Autonomous Parabolic PDEs with State-Dependent Delays     Goto   Sponge   NotDistinct   Permalink

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  • 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. (en)
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 (en)
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 (en)
skos:notation
  • RIV/67985556:_____/12:00377979!RIV13-AV0-67985556
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I, P(GAP103/12/2431)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Rezunenko, Oleksandr V.
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 147315
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/12:00377979
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  • partial differential equations; state-dependent delay; invariance principle (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [0404058E6424]
http://linked.open...i/riv/nazevZdroje
  • Journal of Abstract Differential Equations and Applications
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2
http://linked.open...iv/tvurceVysledku
  • Rezunenko, Oleksandr V.
issn
  • 2158-611X
number of pages
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