Solutions Of The Rational Difference Equations X(n 1)=x(n (2k 1)) /1 X(n-k)

Yıl 2017, Cilt: 5 Sayı: 3, 57 - 68, 01.12.2017

D. ŞİMŞEK B. OĞUL

Öz

In this paper the solutions of the following difference equation is examined, x(n 1)=x(n (2k 1)) /1 x(n-k) (1)where the initial conditions are positive real numbers.

Anahtar Kelimeler

Difference Equation, Period 2k 2 Solution

Rasyonel Fark Denkleminin Çözümleri

Öz

Aşağıdaki Rasyonel fark denkleminin çözümlerini incelendi

Anahtar Kelimeler

Anahtar

Kaynakça

• [1] Amleh A. M., Grove E. A., Ladas G. and Georgiou D. A., On the recursive sequence , J. Math. Anal. Appl., 233, no. 2, 790-798, 1999.
• [2] Cinar C., On the positive solutions of the difference equation , Appl. Math.
• Comp., 158 (3), 809–812, 2004.
• [3] Cinar C., On the positive solutions of the difference equation , Appl. Math. Comp., 158 (3), 793–797, 2004.
• [4] Cinar C., On the positive solutions of the difference equation , Appl. Math. Comp., 156 (3), 587–590, 2004.
• [5] Elabbasy E. M., El-Metwally H. and Elsayed E. M., On the difference equation , Advances in Difference Equation, Volume 2006,Article ID 82579, 1-10, 2006.
• [6] Elabbasy E. M., El-Metwally H. and Elsayed E. M., Qualitative behavior of higher order difference equation, Soochow Journal of Mathematics, 33(4), 861-873, 2007.
• [7] Elabbasy E. M., El-Metwally H. and Elsayed E. M., Global attractivity and periodic character of a fractional difference equation of order three, Yokohama Mathematical Journal, 53, 89-100, 2007.
• [8] Elabbasy E. M., El-Metwally H. and Elsayed E. M., On the difference equation , J. Conc. Appl. Math., 5(2), 101-113, 2007.
• [9] Elabbasy E. M. and Elsayed E. M., On the Global Attractivity of Difference Equation of Higher
• Order, Carpathian Journal of Mathematics, 24 (2), 45–53, 2008.
• [10] Elsayed E. M., On the Solution of Recursive Sequence of Order Two, Fasciculi Mathematici, 40, 5–13, 2008.
• [11] Elsayed E. M., Dynamics of a Recursive Sequence of Higher Order, Communications on Applied Nonlinear Analysis, 16 (2), 37–50, 2009.
• [12] Elsayed E. M., Solution and atractivity for a rational recursive sequence, Discrete Dynamics in Nature and Society, Volume 2011, Article ID 982309, 17 pages, 2011.
• [13] Elsayed E. M., On the solution of some difference equation, Europan Journal of Pure and Applied
• Mathematics, 4 (3), 287–303, 2011.
• [14] Elsayed E. M., On the Dynamics of a higher order rational recursive sequence, Communications in
• Mathematical Analysis, 12 (1), 117–133, 2012.
• [15] Elsayed E. M., Solution of rational difference system of order two, Mathematical and Computer Modelling, 55, 378–384, 2012.
• [16] Gibbons C. H., Kulenović M. R. S. and Ladas G., On the recursive sequence , Math. Sci. Res. Hot-Line, 4, no. 2, 1-11, 2000.
• [17] Kulenović M.R.S., Ladas G. and Sizer W.S., On the recursive sequence Math. Sci. Res. Hot-Line, Vol. 2, No. 5, 1-16, 1998.
• [18] Stevic S. , On the recursive sequence , Taiwanese J. Math., Vol.6, No. 3, 405-414
• 2002.
• [19] Şimşek D., Çınar C. and Yalçınkaya İ., On the recursive sequence , Int. J. Contemp. Math. Sci., 1, no. 9-12, 475-480, 2006.
• [20] Şimşek D., Çınar C., Karataş R. and Yalçınkaya İ., On the recursive sequence , Int. J. Pure Appl. Math., 27, no. 4, 501-507, 2006.
• [21] Şimşek D., Çınar C., Karataş R. and Yalçınkaya İ.