İkinci Mertebeden Fark Denklemlerin Hem Schur Kararlılığı Hem Salınımlılığı

Abstract

Bu çalışmada, ikinci mertebeden fark denklemlerinin çözümlerinin davranışı üzerine sonuçlar incelenmiştir. Çözümün hangi pertürbeler altında karakteristik özelliklerini koruduğunu belirleyen sonuçlar verildi. Elde edilen sonuçlar nümerik örnekler ile incelendi.

Keywords

• Fark denklemleri
• Schur kararlılık
• Hurwitz kararlılık
• salınımlılık
• hassasiyet
• bozunum sistemleri
• şart sayısı

On Schur Stability and Oscillation of Second Order Difference Equations

Abstract

In this study, the results on the behavior of the solutions of second order difference equations are examined. The results determining under which perturbation the solutions retain their characteristics are given. The obtained results are analyzed with numerical examples.

Keywords

• Difference equations
• Schur stability
• Hurwitz stability
• oscillation
• sensitivity
• perturbation systems
• condition number

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