Solutions Of The System Of Maximum Difference Equations

Yıl 2014, Cilt: 2 Sayı: 2, 9 - 22, 01.10.2014

Dağıstan Şimşek Ahmet Doğan

Öz

The behaviour of the solutions of the following system of difference equations is examined.

Anahtar Kelimeler

Difference Equation, Maximum Operations, Semicycle

Maksimumlu Fark Denklem Sisteminin Çözümleri

Öz

Aşağıdaki fark denklem sisteminin çözümlerinin davranışları incelenmiştir.

Anahtar Kelimeler

Fark Denklemi, Maksimum Operatörü, Yarı Dönmeler

Kaynakça

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• [11] Patula, W. T. and Voulov, H. D.,( 2004). On a max type recursive relation with periodic coefficients, Journal of Difference Equations and Applications, 10, 3, 329-338.
• [12] Cinar C., Stevic S. and Yalcinkaya I. (2005). On The Positive Solutions Of A Reciprocal Difference Equation With Minumum, J. Appl. Math. Computing, 17, 307-314.
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• [15] Simsek, D., Demir B. and Kurbanlı A.S.,( 2009). 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, 91-104.
• [16] Simsek D., Demir B. and Cinar C.,( 2009). On the Solutions of the System of Difference Equations x{n+1}=max{A/x{n},y{n}/x{n}}, y{n+1}=max{A/y{n},x{n}/y{n}}, Discrete Dynamics in Nature and Society, Volume 2009, Article ID 325296, 11 pages.
• [17] Simsek D., Kurbanlı A. S., Erdoğan M. E. , ( 2010). 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, 153 pp, .04-07 Ağustos 2010, Erciyes Üniversitesi.