EN
Asymptotic Stability of Linear Delay Difference Equations Including Generalized Difference Operator
Abstract
In this study, some necessary and sufficient conditions are given for the stability of linear delay difference equations involving generalized difference operator. For the root analysis Schur-Cohn criteria is used and some examples are given to verify the results.
Keywords
References
- Agarwal, R.P., Difference Equations and Inequalities, Marcel Dekker, New York, 2000.
- \v{C}erm\'{a}k, J., J\'{a}nsk\i , J.\ \& Kundr\'{a}t, P., \textit{On necessary and sufficient conditions for the asymptotic stability of higher order linear difference equations}, Journal of Difference Equations and Applications, \textbf{18(11)}(2011), 1781--1800.
- Camouzis, E., Ladas, G., Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures, Chapman \&Hall, 2008.
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- Dannan, F.M., Elaydi, S., \textit{Asymptotic stability of linear difference equation of advanced type}, J. Comput. Anal. Appl., \textit{6}(2004), 173--187.
- Elaydi, S., An Introduction to Difference Equations, 3nd ed., Springer, 2000.
- Kelley, W.G., Peterson, A.C., Difference Equations. An Introduction with Applications, Academic Press inc, 1991.
- Kuruklis, S.A., \textit{The asymptotic stability of x(n+1) - ax(n) +bx(n-k) = 0}, J. Math. Anal. Appl., \textbf{188}(1994), 719--731.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Conference Paper
Publication Date
December 30, 2019
Submission Date
August 30, 2019
Acceptance Date
December 26, 2019
Published in Issue
Year 2019 Volume: 11
APA
Gevgeşoğlu, M., & Bolat, Y. (2019). Asymptotic Stability of Linear Delay Difference Equations Including Generalized Difference Operator. Turkish Journal of Mathematics and Computer Science, 11, 141-148. https://izlik.org/JA56GP22XJ
AMA
1.Gevgeşoğlu M, Bolat Y. Asymptotic Stability of Linear Delay Difference Equations Including Generalized Difference Operator. TJMCS. 2019;11:141-148. https://izlik.org/JA56GP22XJ
Chicago
Gevgeşoğlu, Murat, and Yaşar Bolat. 2019. “Asymptotic Stability of Linear Delay Difference Equations Including Generalized Difference Operator”. Turkish Journal of Mathematics and Computer Science 11 (December): 141-48. https://izlik.org/JA56GP22XJ.
EndNote
Gevgeşoğlu M, Bolat Y (December 1, 2019) Asymptotic Stability of Linear Delay Difference Equations Including Generalized Difference Operator. Turkish Journal of Mathematics and Computer Science 11 141–148.
IEEE
[1]M. Gevgeşoğlu and Y. Bolat, “Asymptotic Stability of Linear Delay Difference Equations Including Generalized Difference Operator”, TJMCS, vol. 11, pp. 141–148, Dec. 2019, [Online]. Available: https://izlik.org/JA56GP22XJ
ISNAD
Gevgeşoğlu, Murat - Bolat, Yaşar. “Asymptotic Stability of Linear Delay Difference Equations Including Generalized Difference Operator”. Turkish Journal of Mathematics and Computer Science 11 (December 1, 2019): 141-148. https://izlik.org/JA56GP22XJ.
JAMA
1.Gevgeşoğlu M, Bolat Y. Asymptotic Stability of Linear Delay Difference Equations Including Generalized Difference Operator. TJMCS. 2019;11:141–148.
MLA
Gevgeşoğlu, Murat, and Yaşar Bolat. “Asymptotic Stability of Linear Delay Difference Equations Including Generalized Difference Operator”. Turkish Journal of Mathematics and Computer Science, vol. 11, Dec. 2019, pp. 141-8, https://izlik.org/JA56GP22XJ.
Vancouver
1.Murat Gevgeşoğlu, Yaşar Bolat. Asymptotic Stability of Linear Delay Difference Equations Including Generalized Difference Operator. TJMCS [Internet]. 2019 Dec. 1;11:141-8. Available from: https://izlik.org/JA56GP22XJ