Detail publikace

Asymptotic properties of solutions of nonlinear systems of dynamic equations on time scales

VÍTOVEC, J.

Originální název

Asymptotic properties of solutions of nonlinear systems of dynamic equations on time scales

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

In this paper we study asymptotic properties of solutions of nonlinear dynamic systems on time scales. For a given set Omega, we formulate conditions which guarantee that at least one solution of the studied system stays in Omega. Unlike previous papers, we assume the set Omega in more general shape or we formulate the conditions guaranteeing an existence of bounded solution in easier and better verifiable form. Thanks to this, we can find a wider range of equations with bounded solutions. The example illustrating this type of equations is added.

Klíčová slova

Time scale; Dynamic system; Non-autonomous system; Difference equation; Asymptotic behavior of solution; Retract method

Autoři

VÍTOVEC, J.

Vydáno

21. 7. 2017

Nakladatel

American Institute of Physics

Místo

USA, New York, Melville

ISBN

978-0-7354-1538-6

Kniha

INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS

Edice

ICNAAM 2016

Číslo edice

2016

ISSN

0094-243X

Periodikum

AIP conference proceedings

Ročník

1863

Číslo

480012

Stát

Spojené státy americké

Strany od

1

Strany do

4

Strany počet

4

URL

http://dx.doi.org/10.1063/1.4992648

BibTex

@inproceedings{BUT138131,
  author="Jiří {Vítovec}",
  title="Asymptotic properties of solutions of nonlinear systems of dynamic equations on time scales",
  booktitle="INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS",
  year="2017",
  series="ICNAAM 2016",
  journal="AIP conference proceedings",
  volume="1863",
  number="480012",
  pages="1--4",
  publisher="American Institute of Physics",
  address="USA, New York, Melville",
  doi="10.1063/1.4992648",
  isbn="978-0-7354-1538-6",
  issn="0094-243X",
  url="http://dx.doi.org/10.1063/1.4992648"
}