ON THE STABILITY OF A THIRD ORDER DIFFERENCE EQUATION

Abstract

Bu çalışmada x_(n+1)=x_(n-1) x_(n-2)+A fark denkleminin A pozitif bir reel sayı ve başlangıç koşulları pozitif iken denge noktaları incelendi. Ayrıca ilgili fark denkleminin lokal asimptotik kararlılığı çalışıldı. Özellikle ilgili denklemin çözümlerinin yakınsaklığı incelendi. .

Keywords

• Fark denklemleri
• kararlılık
• yakınsaklık

ON THE STABILITY OF A THIRD ORDER DIFFERENCE EQUATION

Abstract

In this paper, we are investigated the equilibrium points of difference equation x_(n+1)=x_(n-1) x_(n-2)+A, where A is a positive real number and the initial conditions are positive. We are also studied the local asymptotic stability of related difference equation. Particularly, we are examined the convergence of solutions of related equation. .

Keywords

• Difference equations
• stability
• convergence

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