Publication detail

Some notes on oscillation of two-dimensional system of difference equations

OPLUŠTIL, Z.

Czech title

Oscilatoričnost dvoudimezionálního systému diferenčních rovnic.

English title

Some notes on oscillation of two-dimensional system of difference equations

Type

journal article in Scopus

Language

en

Original abstract

Oscillatory properties of solutions to the system of first-order linear difference equations are studied. It can be regarded as a discrete analogy of the linear Hamiltonian system of differential equations. We establish some new conditions, which provide oscillation of the considered system.

Czech abstract

Jsou studovány oscilatorické vlastnosti řešení lineárního systému diferenčních rovnic. Ten může být považován za diskrétní analogii lineárního Hamiltonovského systému diferenciálních rovnic. Zavádíme nové podmínky zaručující jeho oscilatoričnost.

English abstract

Oscillatory properties of solutions to the system of first-order linear difference equations are studied. It can be regarded as a discrete analogy of the linear Hamiltonian system of differential equations. We establish some new conditions, which provide oscillation of the considered system.

Keywords in Czech

Dvoudimenziální systém, lineární diferenční rovnice, oscilatorické řešení.

Keywords in English

Two-dimensional system, linear difference equation, oscillatory solution.

RIV year

2014

Released

23.09.2014

Publisher

Institute of Mathematics, Academy of Sciences of the Czech Republic

Location

Prague, Czech Republic

ISSN

0862-7959

Volume

139

Number

2

Pages from–to

417–428

Pages count

12

BIBTEX


@article{BUT109533,
  author="Zdeněk {Opluštil},
  title="Some notes on oscillation of two-dimensional system of difference equations",
  year="2014",
  volume="139",
  number="2",
  month="September",
  pages="417--428",
  publisher="Institute of Mathematics, Academy of Sciences of the Czech Republic",
  address="Prague, Czech Republic",
  issn="0862-7959"
}