Değişken katsayılı fark denklemlerin salınımı için yinelemeli salınım testleri


Thesis Type: Postgraduate

Institution Of The Thesis: Dokuz Eylul University, Fen Bilimleri Enstitüsü, Turkey

Approval Date: 2021

Thesis Language: English

Student: ZEHRA ÖZSEVER

Supervisor: Başak Karpuz

Abstract:

In this thesis, we will reconsider the significant results on oscillation and nonoscillation of solutions of an important class of difference equations with variable coefficients in the literature and we will examine them with numerical examples. Later, we will give our new result for the oscillation of delay difference equations with variable coefficients and we will reinforce the importance of our result with an example where to the best of our knowledge all the oscillation results in the literature fail to give a positive answer. Lastly, we will state some of the other well-known iterative results on oscillation of solutions of delay difference equations to make our final comments.