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On A Class Of Recursive Sequence

Year 2014, Volume: 2 Issue: 1, 16 - 22, 01.05.2014

Abstract

In this paper, we study the following type of a recursive sequence where p ≥ 2, k ≥ 1 are fixed integers, with the initial values x(n) > 0 for n = -pk 1,-pk 2,…,0. Our results generalize some results in the literature. We give illustrating examples of which solutions are calculated and plotted by the MatLab programming.

References

  • [1] Amleh A.M., Grove E. A., Ladas G. and Georgiou D.A., On the recursive sequence J. Math. Anal. Appl., 233, no. 2, (1999), 790-798.
  • [2] Gibbons C.H., Kulenović M.R.S. and Ladas G., On the recursive sequence , Math. Sci. Res. Hot-Line, 4, no. 2, (2000), 1-11.
  • [3] Şimsek D., Çınar C. and Yalçınkaya İ., On the recursive sequence , Int. J. Contemp. Math. Sci., 1, no. 9-12, (2006), 475-480.
  • [4] Şimsek D., Çınar C., Karataş R. and Yalçınkaya İ., On the recursive sequence , Int. J. Pure Appl. Math., 27, no. 4, (2006), 501-507.
  • [5] Şimsek D., Çınar C., Yalçınkaya İ. and Karataş R., On the recursive sequence, Int. J. Pure Appl. Math., 28 no. 1, (2006), 117-124.
  • [6] Kulenović M.R.S., Ladas G. and Sizer W.S., On the recursive sequence , Math. Sci. Res. Hot-Line, 2, no. 5, (1998), 1-16.
  • [7] DeVault R., Ladas G. and Schultz W.S., On the recursive sequence , Proc. Amer. Math. Soc., 126 no. 11, (1998), 3257-3261.
  • [8] Stevic S., On the recursive sequence , Taiwanese J. Math., 6, no. 3, (2002), 405-414.
  • [9] Yang X., Chen B., Megson M.G. and Evans J.D., Global attractivity in a recursive sequence, Appl. Math. Comput., 158, no. 3, (2004), 667-682.

Azalan Dizilerin Bir Sınıfı Üzerine

Year 2014, Volume: 2 Issue: 1, 16 - 22, 01.05.2014

Abstract

Bu çalışmada, n = -pk+1,-pk+2,…,0 için x(n) > 0 başlangıç şartı ile p ≥ 2, k ≥ 1 sabit tamsayıları için aşağıdaki azalan dizilerin bir türünü

References

  • [1] Amleh A.M., Grove E. A., Ladas G. and Georgiou D.A., On the recursive sequence J. Math. Anal. Appl., 233, no. 2, (1999), 790-798.
  • [2] Gibbons C.H., Kulenović M.R.S. and Ladas G., On the recursive sequence , Math. Sci. Res. Hot-Line, 4, no. 2, (2000), 1-11.
  • [3] Şimsek D., Çınar C. and Yalçınkaya İ., On the recursive sequence , Int. J. Contemp. Math. Sci., 1, no. 9-12, (2006), 475-480.
  • [4] Şimsek D., Çınar C., Karataş R. and Yalçınkaya İ., On the recursive sequence , Int. J. Pure Appl. Math., 27, no. 4, (2006), 501-507.
  • [5] Şimsek D., Çınar C., Yalçınkaya İ. and Karataş R., On the recursive sequence, Int. J. Pure Appl. Math., 28 no. 1, (2006), 117-124.
  • [6] Kulenović M.R.S., Ladas G. and Sizer W.S., On the recursive sequence , Math. Sci. Res. Hot-Line, 2, no. 5, (1998), 1-16.
  • [7] DeVault R., Ladas G. and Schultz W.S., On the recursive sequence , Proc. Amer. Math. Soc., 126 no. 11, (1998), 3257-3261.
  • [8] Stevic S., On the recursive sequence , Taiwanese J. Math., 6, no. 3, (2002), 405-414.
  • [9] Yang X., Chen B., Megson M.G. and Evans J.D., Global attractivity in a recursive sequence, Appl. Math. Comput., 158, no. 3, (2004), 667-682.
There are 9 citations in total.

Details

Other ID JA56KG78YC
Journal Section Research Article
Authors

Dağıstan Şimşek This is me

Ahmet Doğan This is me

Publication Date May 1, 2014
Published in Issue Year 2014 Volume: 2 Issue: 1

Cite

APA Şimşek, D., & Doğan, A. (2014). On A Class Of Recursive Sequence. MANAS Journal of Engineering, 2(1), 16-22.
AMA Şimşek D, Doğan A. On A Class Of Recursive Sequence. MJEN. May 2014;2(1):16-22.
Chicago Şimşek, Dağıstan, and Ahmet Doğan. “On A Class Of Recursive Sequence”. MANAS Journal of Engineering 2, no. 1 (May 2014): 16-22.
EndNote Şimşek D, Doğan A (May 1, 2014) On A Class Of Recursive Sequence. MANAS Journal of Engineering 2 1 16–22.
IEEE D. Şimşek and A. Doğan, “On A Class Of Recursive Sequence”, MJEN, vol. 2, no. 1, pp. 16–22, 2014.
ISNAD Şimşek, Dağıstan - Doğan, Ahmet. “On A Class Of Recursive Sequence”. MANAS Journal of Engineering 2/1 (May 2014), 16-22.
JAMA Şimşek D, Doğan A. On A Class Of Recursive Sequence. MJEN. 2014;2:16–22.
MLA Şimşek, Dağıstan and Ahmet Doğan. “On A Class Of Recursive Sequence”. MANAS Journal of Engineering, vol. 2, no. 1, 2014, pp. 16-22.
Vancouver Şimşek D, Doğan A. On A Class Of Recursive Sequence. MJEN. 2014;2(1):16-22.

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