About: Lower and upper estimates of solutions to systems of delay dynamic equations on time scales

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In this paper we study a system of delay dynamic equations on the time scale $\T$ of the form $$y^{\Delta}(t)=f(t,y_{\tau}(t)),$$ where $f\colon\mathbb{T}\times\mathbb{R}^n\rightarrow\mathbb{R}^n$, $y_\tau(t)=(y_1(\tau_1(t)),\ldots,y_n(\tau_n(t)))$ and $\tau_i\colon\T\rightarrow \T$, $i=1,\ldots,n$ are the delay functions. We are interested about the asymptotic behavior of solutions of mentioned system. More precisely, we formulate conditions on a function $f$, which guarantee that the graph of at least one solution of above mentioned system stays in the prescribed domain. This result generalizes some previous results concerning the asymptotic behavior of solutions of non-delay systems of dynamic equations or of delay dynamic equations. A relevant example is considered. In this paper we study a system of delay dynamic equations on the time scale $\T$ of the form $$y^{\Delta}(t)=f(t,y_{\tau}(t)),$$ where $f\colon\mathbb{T}\times\mathbb{R}^n\rightarrow\mathbb{R}^n$, $y_\tau(t)=(y_1(\tau_1(t)),\ldots,y_n(\tau_n(t)))$ and $\tau_i\colon\T\rightarrow \T$, $i=1,\ldots,n$ are the delay functions. We are interested about the asymptotic behavior of solutions of mentioned system. More precisely, we formulate conditions on a function $f$, which guarantee that the graph of at least one solution of above mentioned system stays in the prescribed domain. This result generalizes some previous results concerning the asymptotic behavior of solutions of non-delay systems of dynamic equations or of delay dynamic equations. A relevant example is considered. (en)
Title	Lower and upper estimates of solutions to systems of delay dynamic equations on time scales Lower and upper estimates of solutions to systems of delay dynamic equations on time scales (en)
skos:prefLabel	Lower and upper estimates of solutions to systems of delay dynamic equations on time scales Lower and upper estimates of solutions to systems of delay dynamic equations on time scales (en)
skos:notation	RIV/00216305:26220/13:PU106700!RIV14-GA0-26220___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(ED1.1.00/02.0068), P(EE2.3.30.0039), P(GAP201/10/1032)
http://linked.open...iv/cisloPeriodika	216
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Diblík, Josef Vítovec, Jiří
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	Vysoké učení technické v Brně / Fakulta elektrotechniky a komunikačních technologií
http://linked.open...dnocenehoVysledku	85498
http://linked.open...ai/riv/idVysledku	RIV/00216305:26220/13:PU106700
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	time scale, dynamic system, delay, asymptotic behavior of solution, retract, retraction (en)
http://linked.open.../riv/klicoveSlovo	asymptotic behavior of solution retraction retract delay time scale dynamic system
http://linked.open...odStatuVydavatele	CH - Švýcarská konfederace
http://linked.open...ontrolniKodProRIV	[E2128716324B]
http://linked.open...i/riv/nazevZdroje	Boundary Value Problems
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Excellent young researcher at BUT Central european institute of technology Difference equations and dynamic equations on time scales III
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	2013
http://linked.open...iv/tvurceVysledku	Diblík, Josef Vítovec, Jiří
issn	1687-2770
number of pages	14 (xsd:int)
http://localhost/t...ganizacniJednotka	26220

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