Publication detail

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

VÍTOVEC, J.

Original Title

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

Type

conference paper

Language

English

Original 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

Authors

VÍTOVEC, J.

Released

21. 7. 2017

Publisher

American Institute of Physics

Location

USA, New York, Melville

ISBN

978-0-7354-1538-6

Book

INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS

Edition

ICNAAM 2016

Edition number

2016

ISBN

0094-243X

Periodical

AIP conference proceedings

Year of study

1863

Number

480012

State

United States of America

Pages from

1

Pages to

4

Pages count

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"
}