İkinci Mertebeden Fark Denklemlerin Hem Schur Kararlılığı Hem Salınımlılığı

Yıl 2021, , 3098 - 3110, 15.12.2021

Ramazan Çakıroğlu Ahmet Duman , Kemal Aydın

https://doi.org/10.21597/jist.902856

Öz

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.

Anahtar Kelimeler

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

On Schur Stability and Oscillation of Second Order Difference Equations

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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