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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F14%3APU108997" target="_blank" >RIV/00216305:26620/14:PU108997 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0096300314005451" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0096300314005451</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2014.04.021" target="_blank" >10.1016/j.amc.2014.04.021</a>

Result language
angličtina
Original language name
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
Original language 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 $fcolonmathbb{T}timesmathbb{R}^nrightarrowmathbb{R}^n$ and $mathbb{T}$ is a time scale. For a given set $Omegasubsetmathbb{T}timesmathbb{R}^{n}$, 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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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