Bounded solutions of delay dynamic equations on time scales

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F12%3APU101175" target="_blank" >RIV/00216305:26110/12:PU101175 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Bounded solutions of delay dynamic equations on time scales

Original language description

In this paper we discuss the asymptotic behavior of solutions of a delay dynamic equation $$y^{Delta}(t)=f(t,y(tau(t)))$$ where $fcolonmathbb{T}timesmathbb{R}rightarrowmathbb{R}$, taucolonTrightarrow T$ is a delay function and $mathbb{T}$ is a time scale. We formulate a principle which gives the guarantee that the graph of at least one solution of above mentioned equation stays in the prescribed domain. This principle uses the idea of the retraction method and is a suitable tool for investigating the asymptotic behavior of solutions of dynamic equations. This is illustrated by an example.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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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

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Advances in Difference Equations

ISSN

1687-1847

e-ISSN

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Volume of the periodical

2012

Issue of the periodical within the volume

2012

Country of publishing house

DE - GERMANY

Number of pages

9

Pages from-to

1-9

UT code for WoS article

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EID of the result in the Scopus database

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