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

English 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

en

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.

English 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

RIV year

2009

Released

01.09.2009

Publisher

Dynamic Publishers, Inc.

Location

Atlanta, Georgia, USA

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",
  annote="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.",
  address="Dynamic Publishers, Inc.",
  chapter="49726",
  institution="Dynamic Publishers, Inc.",
  journal="Dynamic systems and applications",
  number="3-4",
  volume="18",
  year="2009",
  month="september",
  pages="507--538",
  publisher="Dynamic Publishers, Inc.",
  type="journal article in Web of Science"
}