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Lineer olmayan özel fark denklemlerinin dinamiklerinin incelenmesi

2018
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Advisor: Doç. Dr. Yüksel Soykan

Abstract (EN)

In this thesis, we are dealt with the some properties of solutions of some nonlinear difference equations such as periodicity, stability and boundedness. Moreover, in the periodicity sections, we are investigated periodic, eventually periodic and non-periodic cases of solutions of related nonlinear difference equations. This thesis consist of five chapters. First chapter of the thesis, we present the some important definitions and required theorems. In chapter 2, we investigate the dynamics of the following nonlinear difference equations x_(n+1)=x_n x_(n-1)+α. In chapter 3, we study the long-term behaviours of a nonlinear difference equation x_(n+1)=x_(n-1) x_(n-3)-1. In chapter 4, we deal with the periodicity, stability and boundedness character of a nonlinear difference equation x_(n+1)=x_(n-2) x_(n-3)-1. In chapter 5, we overcome the dynamical properties of some nonlinear difference equations x_(n+1)=x_n x_(n-2)+α.

Author

Dr. Erkan Taşdemir

How to Cite

Erkan Taşdemir (Doctorate thesis). Lineer olmayan özel fark denklemlerinin dinamiklerinin incelenmesi, 2018, Zonguldak Bülent Ecevit University.

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