BibTex RIS Kaynak Göster

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

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.

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.

Rasyonel Fark Denkleminin Çözümleri

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

Öz

Aşağıdaki Rasyonel fark denkleminin çözümlerini incelendi

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.
Toplam 26 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA84NZ92DP
Bölüm Araştırma Makalesi
Yazarlar

D. Şimşek Bu kişi benim

B. Oğul Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 3

Kaynak Göster

APA Şimşek, D., & Oğul, B. (2017). Solutions Of The Rational Difference Equations X(n 1)=x(n (2k 1)) /1 X(n-k). MANAS Journal of Engineering, 5(3), 57-68.
AMA Şimşek D, Oğul B. Solutions Of The Rational Difference Equations X(n 1)=x(n (2k 1)) /1 X(n-k). MJEN. Aralık 2017;5(3):57-68.
Chicago Şimşek, D., ve B. Oğul. “Solutions Of The Rational Difference Equations X(n 1)=x(n (2k 1)) /1 X(n-K)”. MANAS Journal of Engineering 5, sy. 3 (Aralık 2017): 57-68.
EndNote Şimşek D, Oğul B (01 Aralık 2017) Solutions Of The Rational Difference Equations X(n 1)=x(n (2k 1) /1 X(n-k). MANAS Journal of Engineering 5 3 57–68.
IEEE D. Şimşek ve B. Oğul, “Solutions Of The Rational Difference Equations X(n 1)=x(n (2k 1)) /1 X(n-k)”, MJEN, c. 5, sy. 3, ss. 57–68, 2017.
ISNAD Şimşek, D. - Oğul, B. “Solutions Of The Rational Difference Equations X(n 1)=x(n (2k 1)) /1 X(n-K)”. MANAS Journal of Engineering 5/3 (Aralık 2017), 57-68.
JAMA Şimşek D, Oğul B. Solutions Of The Rational Difference Equations X(n 1)=x(n (2k 1)) /1 X(n-k). MJEN. 2017;5:57–68.
MLA Şimşek, D. ve B. Oğul. “Solutions Of The Rational Difference Equations X(n 1)=x(n (2k 1)) /1 X(n-K)”. MANAS Journal of Engineering, c. 5, sy. 3, 2017, ss. 57-68.
Vancouver Şimşek D, Oğul B. Solutions Of The Rational Difference Equations X(n 1)=x(n (2k 1)) /1 X(n-k). MJEN. 2017;5(3):57-68.

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