Result Details

A General Version of the Retract Method for Discrete Equations

DIBLÍK, J.; HLAVIČKOVÁ, I.; RŮŽIČKOVÁ, M. A General Version of the Retract Method for Discrete Equations. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2007, vol. 23, no. 2, p. 341-348. ISSN: 1439-8516.
Type
journal article
Language
English
Authors
Diblík Josef, prof. RNDr., DrSc., MAT (FCE), UMAT (FEEC)
Hlavičková Irena, Mgr., Ph.D., UMAT (FEEC)
Růžičková Miroslava, doc., CSc.
Abstract

In this paper we study a problem concerning the compulsory behavior of the solutions of systems of discrete equations. A general principle for the existence of at least one solution with graph staying in a previously prescribed domain is formulated. Such solutions are defined by means of the corresponding initial data and their existence is proved by means of retract type approach.

Keywords

discrete equation
consequent point
retract

URL
Published
2007
Pages
341–348
Journal
ACTA MATHEMATICA SINICA-ENGLISH SERIES, vol. 23, no. 2, ISSN 1439-8516
Publisher
Springer-Verlag
BibTeX 
@article{BUT44235,
  author="Josef {Diblík} and Irena {Hlavičková} and Miroslava {Růžičková}",
  title="A General Version of the Retract Method for Discrete Equations",
  journal="ACTA MATHEMATICA SINICA-ENGLISH SERIES",
  year="2007",
  volume="23",
  number="2",
  pages="341--348",
  issn="1439-8516",
  url="http://dx.doi.org/10.1007/s10114-005-0729-8"
}
Departments
Department of Mathematics (UMAT)
Institute of Mathematics and Descriptive Geometry (MAT)
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