Result Details

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

DIBLÍK, J.; HLAVIČKOVÁ, I. Combination of Liapunov and retract methods in the investigation of the asymptotic behavior of solutions of systems of discrete equations. Dynamic systems and applications, 2009, vol. 18, no. 3-4, p. 507-538. ISSN: 1056-2176.

Type

journal article

Language

English

Authors

Diblík Josef, prof. RNDr., DrSc., MAT (FCE), UMAT (FEEC)
Hlavičková Irena, Mgr., Ph.D., UMAT (FEEC)

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

Published

2009

Pages

507–538

Journal

Dynamic systems and applications, vol. 18, no. 3-4, ISSN 1056-2176

Publisher

Dynamic Publishers, Inc.

Place

Atlanta, Georgia, USA

UT WoS

000270520600010

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"
}

Departments

Department of Mathematics (UMAT)
Institute of Mathematics and Descriptive Geometry (MAT)