Journals / Karaelmas Fen ve Mühendislik Dergisi / 2018 / Cilt: 8 - Sayı: 2

On some difference equations of exponential form

Üstel Biçimdeki Bazı Fark Denklemleri Üzerine

Pages
581–584
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Furthermore, some numerical examples are presented to verify our results. 2010 AMS-Mathematical Subject Classification Number: 39A10, 39A20

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the local asymptotic behavior of positive solutions of some exponential difference equations x , , ,,,... x e x x k n 1 n N 012 n k x n n k 1 = n k ! + + + = - - - are investigated where the initial conditions are arbitrary positive real numbers.
📊
Key Findings & Data:In this paper, the local asymptotic behavior of positive solutions of some exponential difference equations x , , ,,,... x e x x k n 1 n N 012 n k x n n k 1 = n k ! + + + = - - - are investigated where the initial conditions are arbitrary positive real numbers.
💡
Conclusion & Impact:Furthermore, some numerical examples are presented to verify our results. 2010 AMS-Mathematical Subject Classification Number: 39A10, 39A20
🔬Design:Research Article
📍Scope:2010 Verileri
⚙️Variables:Fark denklem · Lokal kararlılık · Pozitif çözümler

Abstract

In this paper, the local asymptotic behavior of positive solutions of some exponential difference equations x , , ,,,... x e x x k n 1 n N 012 n k x n n k 1 = n k ! + + + = - - - are investigated where the initial conditions are arbitrary positive real numbers. Furthermore, some numerical examples are presented to verify our results. 2010 AMS-Mathematical Subject Classification Number: 39A10, 39A20

Özet

Bu makalede, başlangıç koşulları keyfi pozitif reel sayılar olmak üzere bazı x , , ,,,... x e x x k n 1 n N 012 n k x n n k 1 = n k ! + + + = - - - üstel rasyonel fark denklemlerinin pozitif çözümlerinin lokal asimptotik davranışı araştırılmıştır. Ayrıca, sonuçlarımızı doğrulamak için bazı nümerik örnekler verilmiştir

🔖

Cite This Article

GÖCEN, M. (2018). On some difference equations of exponential form. Karaelmas Fen ve Mühendislik Dergisi, Cilt: 8 - Sayı: 2, 581–584. https://ajindex.com/articles/190886

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (12)

  1. Bozkurt, F., 2013. Stability analysis of a nonlinear difference equation. Int. J. Mod. Nonlinear Theory Appl., 2: 1-6
  2. Camouzis, E., Ladas, G. 2007. Dynamics of third-order rational difference equations with open problems and conjectures, CRC Press
  3. Elaydi, S., 1996. An introduction to difference equation, New York, Springer
  4. El-Metwally, H., Grove, E. A., Ladas, G., Levins, R., Radin, M. 2011. On the difference equation, Nonlinear Anal., 47, 4623-4634
  5. Gocen, M., Guneysu, M., 2018. The global attractivity of some rational difference equations. J. Comput. An. App., 25(7): 1233-1243
  6. Gumus, M., Abo-Zeid R. 2018. On the solutions of a (2k+2) th order difference equation. Dyn. Contin., Disc. Imp. Sys. Ser. B, 25: 129-143
  7. Gumus, M. 2018. The global asymptotic stability of a system of difference equations. J. Diff. Eq. App., 24(6):976-991. doi. org/10.1080/10236198.2018.1443445
  8. Kocić, V., Ladas, G. 1993. Global behavior of nonlinear difference equations of higher order with applications, Kluwer Academic Publishers, Dordrecht
  9. Kulenović, M. R. S., Ladas, G. 2001. Dynamics of second order rational difference equations, Chapman & Hall/CRC
  10. Okumus, I., Soykan, Y., 2018. Some Technique To Show The Boundedness Of Rational Difference Equations, Journal of Progressive Research in Mathematics, 13(2), 2246-2258
  11. Ozturk, I., Bozkurt, F., Ozen, S. 2006. On the difference equation, Appl. Math. Comput., 181, 1387-1393
  12. Tasdemir, E., Soykan, Y., 2017. Long-term behavior of solutions of the non-linear difference equation, 1. Gen. Math. Not., 38(1): 13-31.