Publication result detail

Oscillation of solutions of a linear second-order discrete delayed equation

DIBLÍK, J.; BAŠTINEC, J.; ŠMARDA, Z.

Original Title

Oscillation of solutions of a linear second-order discrete delayed equation

English Title

Oscillation of solutions of a linear second-order discrete delayed equation

Type

Paper in proceedings (conference paper)

Original Abstract

The existence of a positive solution of difference equations is often encountered when analysing mathematical models describing various processes. This is a motivation for an intensive study of the conditions for the existence of positive solutions of discrete or continuous equations. Such analysis is related to an investigation of the case of all solutions being oscillating. We investigated a class of linear second-order delayed discrete equations and proved the new conditions, where guaranted. that all solutions are oscillating. We consider the delayed second-order linear discrete equation

English abstract

The existence of a positive solution of difference equations is often encountered when analysing mathematical models describing various processes. This is a motivation for an intensive study of the conditions for the existence of positive solutions of discrete or continuous equations. Such analysis is related to an investigation of the case of all solutions being oscillating. We investigated a class of linear second-order delayed discrete equations and proved the new conditions, where guaranted. that all solutions are oscillating. We consider the delayed second-order linear discrete equation

Keywords

positive solution, difference equation, linear second-order delayed discrete equations.

Key words in English

positive solution, difference equation, linear second-order delayed discrete equations.

Authors

DIBLÍK, J.; BAŠTINEC, J.; ŠMARDA, Z.

RIV year

2011

Released

13.09.2010

Publisher

University of Tavrida

Location

Sinferopol

ISBN

978-966-491-137-2

Book

10 th International Summer School " Laypunov's Functions and Their Applications".

Pages from

164

Pages to

165

Pages count

2

BibTex

@inproceedings{BUT35819,
  author="Josef {Diblík} and Jaromír {Baštinec} and Zdeněk {Šmarda}",
  title="Oscillation of solutions of a linear second-order discrete delayed equation",
  booktitle="10 th International Summer School {"} Laypunov's Functions and Their Applications{"}.",
  year="2010",
  pages="164--165",
  publisher="University of Tavrida",
  address="Sinferopol",
  isbn="978-966-491-137-2"
}