Opuscula Math. 34, no. 4 (2014), 789-797
http://dx.doi.org/10.7494/OpMath.2014.34.4.789

 
Opuscula Mathematica

Oscillatory properties of solutions of the fourth order difference equations with quasidifferences

Robert Jankowski
Ewa Schmeidel
Joanna Zonenberg

Abstract. A class of fourth-order neutral type difference equations with quasidifferences and deviating arguments is considered. Our approach is based on studying the considered equation as a system of a four-dimensional difference system. The sufficient conditions under which the considered equation has no quickly oscillatory solutions are given. Finally, the sufficient conditions under which the equation is almost oscillatory are presented.

Keywords: fourth-order difference equation, neutral type, quickly oscillatory solutions, almost oscillatory.

Mathematics Subject Classification: 39A21, 39A10.

Full text (pdf)

  • Robert Jankowski
  • Lodz University of Technology, Institute of Mathematics, Wólczańska 215, 90-924 Łódź, Poland
  • Ewa Schmeidel
  • University of Bialystok, Faculty of Mathematics and Computer Science, Akademicka 2, 15-267 Białystok, Poland
  • Joanna Zonenberg
  • University of Bialystok, Faculty of Mathematics and Computer Science, Akademicka 2, 15-267 Białystok, Poland
  • Received: 2014-01-01.
  • Revised: 2014-03-05.
  • Accepted: 2014-04-01.
Opuscula Mathematica - cover

Cite this article as:
Robert Jankowski, Ewa Schmeidel, Joanna Zonenberg, Oscillatory properties of solutions of the fourth order difference equations with quasidifferences, Opuscula Math. 34, no. 4 (2014), 789-797, http://dx.doi.org/10.7494/OpMath.2014.34.4.789

Download this article's citation as:
a .bib file (BibTeX),
a .ris file (RefMan),
a .enw file (EndNote)
or export to RefWorks.

In accordance with EU legislation we advise you this website uses cookies to allow us to see how the site is used. All data is anonymized.
All recent versions of popular browsers give users a level of control over cookies. Users can set their browsers to accept or reject all, or certain, cookies.