On Schur Stability and Oscillation of Linear Difference Equation Systems with Constant Coefficients

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.

Keywords

• Difference equation systems
• Schur stability
• oscillation
• sensitivity
• perturbation systems
• condition number

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