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Solutions Of The Rational Difference Equations

Year 2018, Volume: 6 Issue: 1, 56 - 74, 01.05.2018

Abstract

In this paper the solutions of the following difference equation is examined, (1)where the initial conditions are positive real numbers.

References

  • [1] Amleh A. M., Grove E. A., Ladas G., Georgiou D. A., On the recursive sequence , J. Math. Anal. Appl., 233, no. 2, (1999),790-798.
  • [2] Cinar C., On the positive solutions of the difference equation , Appl. Math. Comp., 158 (3), (2004), 809–812.
  • [3] Cinar C., On the positive solutions of the difference equation , Appl. Math. Comp., 158 (3), (2004), 793–797.
  • [4] Cinar C., On the positive solutions of the difference equation , Appl. Math. Comp., 156 (3), (2004), 587–590.
  • [5] DeVault R., Ladas G. and Schultz W.S., On the recursive sequence , Proc. Amer. Math. Soc., 126 no. 11, (1998), 3257-3261.
  • [6] Elabbasy E. M., El-Metwally H., Elsayed E. M., On the difference equation , Advances in Difference Equation, (2006), 1-10.
  • [7] Elabbasy E. M., El-Metwally H., Elsayed E. M., Qualitative behavior of higher order difference equation, Soochow Journal of Mathematics, 33(4), (2007), 861-873.
  • [8] Elabbasy E. M., El-Metwally H., Elsayed E. M., Global attractivity and periodic character of a fractional difference equation of order three, Yokohama Mathematical Journal, 53, (2007), 89-100.
  • [9] Elabbasy E. M., El-Metwally H., Elsayed E. M., On the difference equation , J. Conc. Appl. Math., 5(2), (2007), 101-113.
  • [10] Elabbasy E. M. and Elsayed E. M., On the Global Attractivity of Difference Equation of Higher Order, Carpathian Journal of Mathematics, 24 (2), (2008), 45–53.
  • [11] Elsayed E. M., On the Solution of Recursive Sequence of Order Two, Fasciculi Mathematici, 40, (2008), 5–13.
  • [12] Elsayed E. M., Dynamics of a Recursive Sequence of Higher Order, Communications on Applied Nonlinear Analysis, 16 (2), (2009), 37–50.
  • [13] Elsayed E. M., Solution and atractivity for a rational recursive sequence, Discrete Dynamics in Nature and Society, (2011), 17.
  • [14] Elsayed E. M., On the solution of some difference equation, Europan Journal of Pure and Applied Mathematics, 4 (3), (2011), 287–303.
  • [15] Elsayed E. M., On the Dynamics of a higher order rational recursive sequence, Communications in Mathematical Analysis, 12 (1), (2012), 117–133.
  • [16] Elsayed E. M., Solution of rational difference system of order two, Mathematical and Computer Modelling, 55, (2012), 378–384.
  • [17] Gibbons C. H., Kulenović M. R. S. and Ladas G., On the recursive sequence , Math. Sci. Res. Hot-Line, 4, 2, (2000), 1-11.
  • [18] Kulenović M.R.S., Ladas G., Sizer W.S., On the recursive sequence Math. Sci. Res. Hot-Line, 2, 5, (1998), 1-16.
  • [19] Stevic S., On the recursive sequence , Taiwanese J. Math., 6, 3, (2002), 405-414.
  • [20] Şimşek D., Çınar C. and Yalçınkaya İ., On the recursive sequence , Int. J. Contemp. Math. Sci., 1, 9-12, (2006), 475-480.
  • [21] Şimşek D., Çınar C., Karataş R., Yalçınkaya İ., On the recursive sequence , Int. J. Pure Appl. Math., 27, 4, (2006), 501-507.
  • [22] Şimşek D., Çınar C., Karataş R., Yalçınkaya İ.

Rasyonel Fark Denkleminin Çözümleri

Year 2018, Volume: 6 Issue: 1, 56 - 74, 01.05.2018

Abstract

Aşağıdaki Rasyonel fark denkleminin çözümlerini incelendi.

References

  • [1] Amleh A. M., Grove E. A., Ladas G., Georgiou D. A., On the recursive sequence , J. Math. Anal. Appl., 233, no. 2, (1999),790-798.
  • [2] Cinar C., On the positive solutions of the difference equation , Appl. Math. Comp., 158 (3), (2004), 809–812.
  • [3] Cinar C., On the positive solutions of the difference equation , Appl. Math. Comp., 158 (3), (2004), 793–797.
  • [4] Cinar C., On the positive solutions of the difference equation , Appl. Math. Comp., 156 (3), (2004), 587–590.
  • [5] DeVault R., Ladas G. and Schultz W.S., On the recursive sequence , Proc. Amer. Math. Soc., 126 no. 11, (1998), 3257-3261.
  • [6] Elabbasy E. M., El-Metwally H., Elsayed E. M., On the difference equation , Advances in Difference Equation, (2006), 1-10.
  • [7] Elabbasy E. M., El-Metwally H., Elsayed E. M., Qualitative behavior of higher order difference equation, Soochow Journal of Mathematics, 33(4), (2007), 861-873.
  • [8] Elabbasy E. M., El-Metwally H., Elsayed E. M., Global attractivity and periodic character of a fractional difference equation of order three, Yokohama Mathematical Journal, 53, (2007), 89-100.
  • [9] Elabbasy E. M., El-Metwally H., Elsayed E. M., On the difference equation , J. Conc. Appl. Math., 5(2), (2007), 101-113.
  • [10] Elabbasy E. M. and Elsayed E. M., On the Global Attractivity of Difference Equation of Higher Order, Carpathian Journal of Mathematics, 24 (2), (2008), 45–53.
  • [11] Elsayed E. M., On the Solution of Recursive Sequence of Order Two, Fasciculi Mathematici, 40, (2008), 5–13.
  • [12] Elsayed E. M., Dynamics of a Recursive Sequence of Higher Order, Communications on Applied Nonlinear Analysis, 16 (2), (2009), 37–50.
  • [13] Elsayed E. M., Solution and atractivity for a rational recursive sequence, Discrete Dynamics in Nature and Society, (2011), 17.
  • [14] Elsayed E. M., On the solution of some difference equation, Europan Journal of Pure and Applied Mathematics, 4 (3), (2011), 287–303.
  • [15] Elsayed E. M., On the Dynamics of a higher order rational recursive sequence, Communications in Mathematical Analysis, 12 (1), (2012), 117–133.
  • [16] Elsayed E. M., Solution of rational difference system of order two, Mathematical and Computer Modelling, 55, (2012), 378–384.
  • [17] Gibbons C. H., Kulenović M. R. S. and Ladas G., On the recursive sequence , Math. Sci. Res. Hot-Line, 4, 2, (2000), 1-11.
  • [18] Kulenović M.R.S., Ladas G., Sizer W.S., On the recursive sequence Math. Sci. Res. Hot-Line, 2, 5, (1998), 1-16.
  • [19] Stevic S., On the recursive sequence , Taiwanese J. Math., 6, 3, (2002), 405-414.
  • [20] Şimşek D., Çınar C. and Yalçınkaya İ., On the recursive sequence , Int. J. Contemp. Math. Sci., 1, 9-12, (2006), 475-480.
  • [21] Şimşek D., Çınar C., Karataş R., Yalçınkaya İ., On the recursive sequence , Int. J. Pure Appl. Math., 27, 4, (2006), 501-507.
  • [22] Şimşek D., Çınar C., Karataş R., Yalçınkaya İ.
There are 22 citations in total.

Details

Other ID JA77HZ75AZ
Journal Section Research Article
Authors

B. Oğul This is me

D. Şimşek This is me

Publication Date May 1, 2018
Published in Issue Year 2018 Volume: 6 Issue: 1

Cite

APA Oğul, B., & Şimşek, D. (2018). Solutions Of The Rational Difference Equations. MANAS Journal of Engineering, 6(1), 56-74.
AMA Oğul B, Şimşek D. Solutions Of The Rational Difference Equations. MJEN. May 2018;6(1):56-74.
Chicago Oğul, B., and D. Şimşek. “Solutions Of The Rational Difference Equations”. MANAS Journal of Engineering 6, no. 1 (May 2018): 56-74.
EndNote Oğul B, Şimşek D (May 1, 2018) Solutions Of The Rational Difference Equations. MANAS Journal of Engineering 6 1 56–74.
IEEE B. Oğul and D. Şimşek, “Solutions Of The Rational Difference Equations”, MJEN, vol. 6, no. 1, pp. 56–74, 2018.
ISNAD Oğul, B. - Şimşek, D. “Solutions Of The Rational Difference Equations”. MANAS Journal of Engineering 6/1 (May 2018), 56-74.
JAMA Oğul B, Şimşek D. Solutions Of The Rational Difference Equations. MJEN. 2018;6:56–74.
MLA Oğul, B. and D. Şimşek. “Solutions Of The Rational Difference Equations”. MANAS Journal of Engineering, vol. 6, no. 1, 2018, pp. 56-74.
Vancouver Oğul B, Şimşek D. Solutions Of The Rational Difference Equations. MJEN. 2018;6(1):56-74.

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