Publication detail

Combination of Liapunov and retract methods in the investigation of the asymptotic behavior of solutions of systems of discrete equations

DIBLÍK, J. HLAVIČKOVÁ, I.

Original Title

Combination of Liapunov and retract methods in the investigation of the asymptotic behavior of solutions of systems of discrete equations

Type

journal article in Web of Science

Language

English

Original Abstract

This contribution is devoted to a discussion of the asymptotic behavior of solutions of systems of first order nonlinear difference equations. We show that under appropriate conditions there exists at least one solution of the system considered the graph of which stays in a prescribed domain. We present a method which connects Liapunov and retract type techniques.

Keywords

discrete equation, Liapunov method, retract

Authors

DIBLÍK, J.; HLAVIČKOVÁ, I.

RIV year

2009

Released

1. 9. 2009

Publisher

Dynamic Publishers, Inc.

Location

Atlanta, Georgia, USA

ISBN

1056-2176

Periodical

Dynamic systems and applications

Year of study

18

Number

3-4

State

United States of America

Pages from

507

Pages to

538

Pages count

31

BibTex

@article{BUT49726,
  author="Josef {Diblík} and Irena {Hlavičková}",
  title="Combination of Liapunov and retract methods in the investigation of the asymptotic behavior of solutions of systems of discrete equations",
  journal="Dynamic systems and applications",
  year="2009",
  volume="18",
  number="3-4",
  pages="507--538",
  issn="1056-2176"
}