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On a three term linear difference equation with complex coefficients

In: Tatra Mountains Mathematical Publications, vol. 63, no. 2
Jiří Jánský
Detaily:
Rok, strany: 2015, 153 - 161
Kľúčové slová:
delay difference equation, asymptotic stability, characteristic polynomial
O článku:
The paper discusses some known asymptotic stability conditions for the difference equation $$ x_n= \alpha x_{n-1}+\beta x_{n-k},\qquad n=0,1,2\dots $$ with complex numbers $\alpha, \beta$. As the main result, we show that the system of necessary and sufficient stability conditions, derived in a previous work, can be significantly simplified.
Ako citovať:
ISO 690:
Jánský, J. 2015. On a three term linear difference equation with complex coefficients. In Tatra Mountains Mathematical Publications, vol. 63, no.2, pp. 153-161. 1210-3195.

APA:
Jánský, J. (2015). On a three term linear difference equation with complex coefficients. Tatra Mountains Mathematical Publications, 63(2), 153-161. 1210-3195.