Result Details

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

VÍTOVEC, J. Asymptotic properties of solutions of nonlinear systems of dynamic equations on time scales. In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS. AIP conference proceedings. ICNAAM 2016. USA, New York, Melville: American Institute of Physics, 2017. no. 480012, p. 1-4. ISBN: 978-0-7354-1538-6. ISSN: 0094-243X.
Type
conference paper
Language
English
Authors
Vítovec Jiří, Mgr., Ph.D., RG-2-02 (CEITEC), UMAT (FEEC)
Abstract

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.

Keywords

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

URL
Published
2017
Pages
1–4
Journal
AIP conference proceedings, vol. 1863, no. 480012, ISSN 0094-243X
Proceedings
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS
Series
ICNAAM 2016
Edition
2016
Conference
ICNAAM 2016 - The International Conference on Numerical Analysis and Applied Mathematics 2016
ISBN
978-0-7354-1538-6
Publisher
American Institute of Physics
Place
USA, New York, Melville
DOI
10.1063/1.4992648
UT WoS
000410159800463
EID Scopus
2-s2.0-85026653849
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"
}
Departments
Cybernetics in Material Science (RG-2-02)
Department of Mathematics (UMAT)
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