Solutions of the System of Maximum Difference Equations

D. Şimşek; M. Eröz; B. Öğul

EN TR

Solutions of the System of Maximum Difference Equations

Abstract

The behaviour and periodicity of the solutions of the following system of difference equations is examined

Keywords

Difference Equation, Maximum Operations, Semicycle

References

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[4] Elsayed E.M., Stevic S."On the max-type equation x_{n+1}=max{A/x_{n},x_{n-2}}", Nonlinear Analysis, TMA 71, (2009), 910-922.
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[6] Feuer J."Periodic solutions of the Lyness max equation", Journal of Mathematical Analysis and Applications, 288, (2003), 147-160.
[7] Gelişken A., Çinar C., Karataş R."A note on the periodicity of the Lyness max equation", Advances in Difference Equations, (2008), Article ID 651747, 5.
[8] Gelişken A., Çinar C., Yalçınkaya İ. "On the periodicity of a difference equation with maximum", Discrete Dynamics in Nature and Society, (2008), Article ID 820629, 11.
[9] Gelişken A., Çinar C., Kurbanlı A.S. "On the asymptotic behavior and periodic nature of a difference equation with maximum", Computers & Mathematics with Applications, 59, (2010), 898-902.
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[11] Kulenevic M.R.S., Ladas G. "Dynamics of Second Order Rational Difference Equations with Open Problems and Conjecture",Boca Raton, London, (2002).
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[14] Огул Б., Шимшек Д." Система решение разностного уравнения", Весник Кыргызского Государственного Технического Университета, N 34, Бишкек, Кыргызстан, (2015).
[15] Ogul B., Simsek D. "  Maksimumlu Fark Denklem Sisteminin Çözümleri", Manas Journal of Engineering, 3(1): (2015), 35-57.
[16] Papaschinopoulos G., Hatzifilippidis V. "On a max difference equation", Journal of Mathematical Analysis andApplications, (2001), 258-268.
[17] Papaschinopoulos G., Schinas J., Hatzifilippidis V. " Global behaviour of the solutions of a max-equation and of a system of two max-equation", Journal of Computational Analysis and Applications, 5, 2, (2003), 237-247.
[18] Patula W.T., Voulov H.D. "On a max type recursive relation with periodic coefficients", Journal of Difference Equations and Applications, 10, 3, (2004), 329-338.
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[22] Simsek D., Demir B., Kurbanlı A. S. "x_{n+1}=max{(1/(x_{n})),((y_{n})/(x_{n}))}, y_{n+1}=max{(1/(y_{n})),((x_{n})/(y_{n}))} Denklem Sistemlerinin Çözümleri Üzerine", Ahmet Keleşoğlu Eğitim Fakültesi Dergisi, 28, (2009), 91-104.
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[24] Simsek D., Kurbanlı A. S., Erdoğan M. E. "x(n+1) = max{1 \ x(n-1) ; y(n-1) \ x(n-1)} ; y(n+1) = max{1 \ y(n-1) ; x(n-1) \ y(n-1)} Fark Denklem Sisteminin Çözümleri", XXIII. Ulusal Matematik Sempozyumu, (2010), 153.
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Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

D. Şimşek This is me

M. Eröz This is me

B. Öğul This is me

Publication Date

October 1, 2016

Submission Date

October 1, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 2

IZ

https://izlik.org/JA95EG97EA

APA

Şimşek, D., Eröz, M., & Öğul, B. (2016). Solutions of the System of Maximum Difference Equations. MANAS Journal of Engineering, 4(2), 11-23. https://izlik.org/JA95EG97EA

AMA

1.Şimşek D, Eröz M, Öğul B. Solutions of the System of Maximum Difference Equations. MJEN. 2016;4(2):11-23. https://izlik.org/JA95EG97EA

Chicago

Şimşek, D., M. Eröz, and B. Öğul. 2016. “Solutions of the System of Maximum Difference Equations”. MANAS Journal of Engineering 4 (2): 11-23. https://izlik.org/JA95EG97EA.

EndNote

Şimşek D, Eröz M, Öğul B (October 1, 2016) Solutions of the System of Maximum Difference Equations. MANAS Journal of Engineering 4 2 11–23.

IEEE

[1]D. Şimşek, M. Eröz, and B. Öğul, “Solutions of the System of Maximum Difference Equations”, MJEN, vol. 4, no. 2, pp. 11–23, Oct. 2016, [Online]. Available: https://izlik.org/JA95EG97EA

ISNAD

Şimşek, D. - Eröz, M. - Öğul, B. “Solutions of the System of Maximum Difference Equations”. MANAS Journal of Engineering 4/2 (October 1, 2016): 11-23. https://izlik.org/JA95EG97EA.

JAMA

1.Şimşek D, Eröz M, Öğul B. Solutions of the System of Maximum Difference Equations. MJEN. 2016;4:11–23.

MLA

Şimşek, D., et al. “Solutions of the System of Maximum Difference Equations”. MANAS Journal of Engineering, vol. 4, no. 2, Oct. 2016, pp. 11-23, https://izlik.org/JA95EG97EA.

Vancouver

1.D. Şimşek, M. Eröz, B. Öğul. Solutions of the System of Maximum Difference Equations. MJEN [Internet]. 2016 Oct. 1;4(2):11-23. Available from: https://izlik.org/JA95EG97EA

Manas Journal of Engineering

16155

Solutions of the System of Maximum Difference Equations

Abstract

Keywords

Maksimumlu Fark Denklem Sisteminin Çözümleri

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

IZ

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