Conference Paper

Asymptotic Stability of Linear Delay Difference Equations Including Generalized Difference Operator

Volume: 11 December 30, 2019
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

  1. Agarwal, R.P., Difference Equations and Inequalities, Marcel Dekker, New York, 2000.
  2. \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.
  3. Camouzis, E., Ladas, G., Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures, Chapman \&Hall, 2008.
  4. Clark,C. W., \textit{A delay-recruitment model of populations dynamics with application to baleen whale populations}, J. Math. Biol., \textbf{3}(1976), 381--391.
  5. Dannan, F.M., Elaydi, S., \textit{Asymptotic stability of linear difference equation of advanced type}, J. Comput. Anal. Appl., \textit{6}(2004), 173--187.
  6. Elaydi, S., An Introduction to Difference Equations, 3nd ed., Springer, 2000.
  7. Kelley, W.G., Peterson, A.C., Difference Equations. An Introduction with Applications, Academic Press inc, 1991.
  8. 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