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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2019 / Cilt: 9 - Sayı: 1

On The Dynamics of a Nonlinear Difference Equation

Lineer Olmayan Bir Fark Denkleminin Dinamikleri Üzerine

Erkan TAŞDEMİR
Pages
190–201
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, we study periodic and eventually periodic solutions ofrelated difference equation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study we investigate the stability of solutions of difference equation1 3 4 = 1 n n n x x x     .
📊
Key Findings & Data:In this study we investigate the stability of solutions of difference equation1 3 4 = 1 n n n x x x     .
💡
Conclusion & Impact:Moreover, we study periodic and eventually periodic solutions ofrelated difference equation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study we investigate the stability of solutions of difference equation1 3 4 = 1 n n n x x x     . Moreover, we study periodic and eventually periodic solutions ofrelated difference equation.

Özet

Bu çalışmada, fark denkleminin çözümlerinin kararlılığını araştırıldı. Ayrıca, ilgili fark denkleminin periyodik ve eninde sonunda periyodik çözümlerini de çalışıldı.

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Cite This Article

TAŞDEMİR, E. (2022). On The Dynamics of a Nonlinear Difference Equation. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 9 - Sayı: 1, 190–201. https://ajindex.com/articles/428474

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References (17)

  1. Agarwal, R. P., Popenda, J., Periodic solutions of first order linear difference equations, Mathl. Comput. Modelling, 22(1), 1119, 1995.
  2. Agarwal, R. P., Wong, P. J., Advanced topics in difference equations (Vol. 404), Springer Science & Business Media, 2013.
  3. Camouzis, E., Ladas, G., Dynamics of third order rational difference equations with open problems and conjectures, volume 5 of Advances in Discrete Mathematics and Applications, Chapman & Hall/CRC, Boca Raton, FL, 2008.
  4. Diblik, J., Feckan, M., Pospisil, M., Nonexistence of periodic solutions and Sasymptotically periodic solutions in fractional difference equations, Appl. Math. Comput., 257, 230-240, 2015.
  5. Elaydi, S., An Introduction to Difference Equations, Springer-Verlag, New York, 1996.
  6. Elaydi, S., Sacker, R. J., Global stability of periodic orbits of nonautonomous difference equations and population biology, J. Differential Equations, 208(1), 258-273, 2005.
  7. Elsayed, E. M., New method to obtain periodic solutions of period two and three of a rational difference equation, Nonlinear Dyn., 79(1), 241-250, 2015.
  8. El-metwallya, H., Grove, E. A., Ladas, G., Voulov, H. D., On the global attractivity and the periodic character of some difference equations, J. Difference Equ. Appl., 7(6), 837-850, 2001.
  9. Göcen, M., Güneysu, M., The global attractivity of some rational difference equations, J. Comput. Anal. Appl., 25(7), 1233-1243, 2018.
  10. Göcen, M., Cebeci, A., On the Periodic Solutions of Some Systems of Higher Order Difference Equations, Rocky Mountain J. Math., 48(3), 845-858, 2018.
  11. Grove, E. A., Ladas, G., Periodicities in nonlinear difference equations (Vol. 4). CRC Press, 2004.
  12. Gümüş, M., Global dynamics of a third-order rational difference equation, Karaelmas Science and Engineering Journal, 8(2), 585-589, 2018.
  13. Gümüş, M., Soykan, Y., Global character of a six-dimensional nonlinear system of difference equations, Discrete Dyn. Nat. Soc., 2016, 1-7, 2016.
  14. Karakostas, G., Asymptotic 2–periodic difference equations with diagonally self–invertible responses, J. Difference Equ. Appl., 6(3), 329-335, 2000.
  15. Kent, C. M., Kosmala, W., On the Nature of Solutions of the Difference Equation 1 3 = 1 n n n x x x   , International Journal of Nonlinear Analysis and Applications, 2(2), 24-43, 2011.
  16. Kent, C. M., Kosmala, W., Radin, M.A., Stevic, S., Solutions of the difference equation 1 1 = 1 n n n x x x   , Abstr. Appl. Anal., 2010, 1-13, 2010.
  17. Kent, C. M., Kosmala, W., Stevic, S., Long-term behavior of solutions