Research Article

On The Dynamics of a Nonlinear Difference Equation

Volume: 9 Number: 1 June 28, 2019
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On The Dynamics of a Nonlinear Difference Equation

Abstract

In this study we investigate the stability of solutions of difference equation xn+1 = xn-3xn-4 -1. Moreover, we study periodic and eventually periodic solutions of related difference equation.

Keywords

References

  1. [1] C.M. Kent, W. Kosmala, On the Nature of Solutions of the DifferenceEquation xn+1 = xnxn􀀀3 􀀀 1, International Journal of Nonlinear Analysisand Applications 2(2) (2011) 24-43.
  2. [2] C.M. Kent, W. Kosmala, M.A. Radin, S. Stevi´c, Solutions of the differ-ence equation xn+1 = xnxn􀀀1 􀀀 1, Abstr. Appl. Anal., 2010, pp. 1-13.doi:10.1155/2010/469683
  3. [3] C.M. Kent, W. Kosmala, S. Stevic, Long-term behavior of solutions of thedifference equation xn+1 = xn􀀀1xn􀀀2 􀀀 1, Abstr. Appl. Anal., 2010, pp.1-17. doi:10.1155/2010/152378
  4. [4] C.M. Kent, W. Kosmala, S. Stevic, On the difference equation xn+1 =xnxn􀀀2 􀀀 1, Abstr. Appl. Anal., 2011, pp. 1-15. doi:10.1155/2011/815285
  5. [5] E. Camouzis, G. Ladas, Dynamics of third order rational di¤erence equa-tions with open problems and conjectures, volume 5 of Advances in DiscreteMathematics and Applications, Chapman & Hall/CRC, Boca Raton, FL,2008.
  6. [6] E. Ta¸sdemir, Y. Soykan, On the Periodicies of the Difference Equationxn+1 = xnxn􀀀1 + , Karaelmas Science and Engineering Journal, 6(2)(2016), pp. 329-333.
  7. [7] E. Ta¸sdemir, Y. Soykan, Long-Term Behavior of Solutions of the Non-Linear Difference Equation xn+1 = xn􀀀1xn􀀀3􀀀1, Gen. Math. Notes, 38(1)(2017), pp. 13-31.
  8. [8] E. Ta¸sdemir, Y. Soykan, Stability of Negative Equilibrium of a Non-LinearDifference Equation, J. Math. Sci. Adv. Appl., 49(1) (2018), pp. 51-57.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

June 28, 2019

Submission Date

June 26, 2018

Acceptance Date

May 26, 2019

Published in Issue

Year 2019 Volume: 9 Number: 1

APA
Taşdemir, E. (2019). On The Dynamics of a Nonlinear Difference Equation. Adıyaman University Journal of Science, 9(1), 190-201. https://izlik.org/JA38FN64MP
AMA
1.Taşdemir E. On The Dynamics of a Nonlinear Difference Equation. ADYU J SCI. 2019;9(1):190-201. https://izlik.org/JA38FN64MP
Chicago
Taşdemir, Erkan. 2019. “On The Dynamics of a Nonlinear Difference Equation”. Adıyaman University Journal of Science 9 (1): 190-201. https://izlik.org/JA38FN64MP.
EndNote
Taşdemir E (June 1, 2019) On The Dynamics of a Nonlinear Difference Equation. Adıyaman University Journal of Science 9 1 190–201.
IEEE
[1]E. Taşdemir, “On The Dynamics of a Nonlinear Difference Equation”, ADYU J SCI, vol. 9, no. 1, pp. 190–201, June 2019, [Online]. Available: https://izlik.org/JA38FN64MP
ISNAD
Taşdemir, Erkan. “On The Dynamics of a Nonlinear Difference Equation”. Adıyaman University Journal of Science 9/1 (June 1, 2019): 190-201. https://izlik.org/JA38FN64MP.
JAMA
1.Taşdemir E. On The Dynamics of a Nonlinear Difference Equation. ADYU J SCI. 2019;9:190–201.
MLA
Taşdemir, Erkan. “On The Dynamics of a Nonlinear Difference Equation”. Adıyaman University Journal of Science, vol. 9, no. 1, June 2019, pp. 190-01, https://izlik.org/JA38FN64MP.
Vancouver
1.Erkan Taşdemir. On The Dynamics of a Nonlinear Difference Equation. ADYU J SCI [Internet]. 2019 Jun. 1;9(1):190-201. Available from: https://izlik.org/JA38FN64MP

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