For Schur stable and oscillation linear difference equation system with constant coefficients, continuity theorems which show how much change is permissible without disturbing the Schur stability and oscillatory have been proved, and some examples illustrating the efficiency of the theorems have been given.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this study, the solutions of linear difference equation systems with constant coefficients were examined with respect to whether they were Schur stability and oscillatory or not.
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Temel Bulgular & Veri:A new parameter $\gamma (A)$ which indicates the quality of Schur stability and oscillatory of the system has been defined.
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Sonuç & Katkı:For Schur stable and oscillation linear difference equation system with constant coefficients, continuity theorems which show how much change is permissible without disturbing the Schur stability and oscillatory have been proved, and some examples illustrating the efficiency of the theorems have been given.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Difference equation systems · Schur stability · oscillation
Abstract
In this study, the solutions of linear difference equation systems with constant coefficients were examined with respect to whether they were Schur stability and oscillatory or not. A new parameter $\gamma (A)$ which indicates the quality of Schur stability and oscillatory of the system has been defined. For Schur stable and oscillation linear difference equation system with constant coefficients, continuity theorems which show how much change is permissible without disturbing the Schur stability and oscillatory have been proved, and some examples illustrating the efficiency of the theorems have been given.
Duman, A., Çakıroğlu, R., Aydın, K. (2024). On Schur Stability and Oscillation of Linear Difference Equation Systems with Constant Coefficients. Konuralp Journal of Mathematics, Volume: 12 Issue: 2. https://ajindex.com/articles/1521492
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