About: Asymptotic behavior of solutions of systems of dynamic equations on time scales in a set whose boundary is a combination of strict egress and strict ingress points

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About: Asymptotic behavior of solutions of systems of dynamic equations on time scales in a set whose boundary is a combination of strict egress and strict ingress points Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.sciencedirect.com/science/article/pii/S0096300314005451
Description	In this paper we study the asymptotic behavior of solutions of nonlinear dynamic systems on time scales of the form $$y^\Delta(t)=f(t,y(t)),$$ where $f\colon\mathbb{T}\times\mathbb{R}^n\rightarrow\mathbb{R}^n$ and $\mathbb{T}$ is a time scale. For a given set $\Omega\subset\mathbb{T}\times\mathbb{R}^{n}$, we formulate the conditions for function $f$, which guarantee that at least one solution $y$ of the above system stays in $\Omega$. The dimension of the space of initial data generating such solutions is discussed and perturbed linear systems are considered as well. A linear system with singularity at infinity is considered as an example. In this paper we study the asymptotic behavior of solutions of nonlinear dynamic systems on time scales of the form $$y^\Delta(t)=f(t,y(t)),$$ where $f\colon\mathbb{T}\times\mathbb{R}^n\rightarrow\mathbb{R}^n$ and $\mathbb{T}$ is a time scale. For a given set $\Omega\subset\mathbb{T}\times\mathbb{R}^{n}$, we formulate the conditions for function $f$, which guarantee that at least one solution $y$ of the above system stays in $\Omega$. The dimension of the space of initial data generating such solutions is discussed and perturbed linear systems are considered as well. A linear system with singularity at infinity is considered as an example. (en)
Title	Asymptotic behavior of solutions of systems of dynamic equations on time scales in a set whose boundary is a combination of strict egress and strict ingress points Asymptotic behavior of solutions of systems of dynamic equations on time scales in a set whose boundary is a combination of strict egress and strict ingress points (en)
skos:prefLabel	Asymptotic behavior of solutions of systems of dynamic equations on time scales in a set whose boundary is a combination of strict egress and strict ingress points Asymptotic behavior of solutions of systems of dynamic equations on time scales in a set whose boundary is a combination of strict egress and strict ingress points (en)
skos:notation	RIV/00216305:26620/14:PU108997!RIV15-MSM-26620___
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	6
http://linked.open...vai/riv/dodaniDat	2015
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 / Středoevropský technologický institut
http://linked.open...dnocenehoVysledku	4393
http://linked.open...ai/riv/idVysledku	RIV/00216305:26620/14:PU108997
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Time scale, Dynamic system, Asymptotic behavior of solution, Retract, Retraction, Lyapunov method (en)
http://linked.open.../riv/klicoveSlovo	Lyapunov method Time scale Retraction Dynamic system Asymptotic behavior of solution Retract
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[9668A14BA23F]
http://linked.open...i/riv/nazevZdroje	APPLIED MATHEMATICS AND COMPUTATION
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	2014
http://linked.open...v/svazekPeriodika	238
http://linked.open...iv/tvurceVysledku	Diblík, Josef Vítovec, Jiří
issn	0096-3003
number of pages	11 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.amc.2014.04.021
http://localhost/t...ganizacniJednotka	26620

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