Opuscula Math. 34, no. 4 (2014), 789-797
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.
About the authors ▼
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
About the article ▼
Received: 2014-01-01.
Revised: 2014-03-05.
Accepted: 2014-04-01.
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: