Detail publikace

Bounded solutions of delay dynamic equations on time scales

DIBLÍK, J. VÍTOVEC, J.

Originální název

Bounded solutions of delay dynamic equations on time scales

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

In this paper we discuss the asymptotic behavior of solutions of a delay dynamic equation $$y^{\Delta}(t)=f(t,y(\tau(t)))$$ where $f\colon\mathbb{T}\times\mathbb{R}\rightarrow\mathbb{R}$, \tau\colon\T\rightarrow \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.

Klíčová slova

Asymptotic behavior, delay dynamic equation, time scale.

Autoři

DIBLÍK, J.; VÍTOVEC, J.

Rok RIV

2012

Vydáno

24. 10. 2012

Nakladatel

Springer Nature

ISSN

1687-1847

Periodikum

Advances in Difference Equations

Ročník

2012

Číslo

1

Stát

Spojené státy americké

Strany od

1

Strany do

9

Strany počet

9

URL

https://advancesindifferenceequations.springeropen.com/articles/10.1186/1687-1847-2012-183

Plný text v Digitální knihovně

http://hdl.handle.net/11012/137958

BibTex

@article{BUT96019,
  author="Josef {Diblík} and Jiří {Vítovec}",
  title="Bounded solutions of delay dynamic equations on time scales",
  journal="Advances in Difference Equations",
  year="2012",
  volume="2012",
  number="1",
  pages="1--9",
  doi="10.1186/1687-1847-2012-183",
  issn="1687-1847",
  url="https://advancesindifferenceequations.springeropen.com/articles/10.1186/1687-1847-2012-183"
}