Üstel Biçimdeki Bazı Fark Denklemleri Üzerine

Year 2018, Volume: 8 Issue: 2, 581 - 584, 01.06.2018

Melih Göcen

Abstract

Bu makalede, başlangıç koşulları keyfi pozitif reel sayılar olmak üzere bazı x , , ,,,... x e x x k n 1 n N 012 n k x n n k 1 = n k ! + + + = - - - üstel rasyonel fark denklemlerinin pozitif çözümlerinin lokal asimptotik davranışı araştırılmıştır. Ayrıca, sonuçlarımızı doğrulamak için bazı nümerik örnekler verilmiştir

Keywords

Fark denklem, Lokal kararlılık, Pozitif çözümler, Denge noktası

On some difference equations of exponential form

Abstract

In this paper, the local asymptotic behavior of positive solutions of some exponential difference equations x , , ,,,... x e x x k n 1 n N 012 n k x n n k 1 = n k ! + + + = - - - are investigated where the initial conditions are arbitrary positive real numbers. Furthermore, some numerical examples are presented to verify our results. 2010 AMS-Mathematical Subject Classification Number: 39A10, 39A20

Keywords

Difference equation, Local stability, Positive solutions, Equilibrium point

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