Browse Journals

[1] E. Elabbasy, H. El-Metwally and E. Elsayed, Global attractivity and periodic character of a fractional difference equation of order three, Yokohama Mathematical Journal 53(2) (2007), 89-100.

[2] M. Almatrafi, E. Elsayed and F. Alzahrani, Qualitative behavior of a quadratic second-order rational difference equation, International Journal of Advances in Mathematics 2019(1) (2019), 1-14.

[3] M. Garic-Demirovic, M. Nurkanovic and Z. Nurkanovic, Stability, periodicity and Neimark-Sacker bifurcation of certain homogeneous fractional difference equations, International Journal of Difference Equations 12(1) (2017), 27-53.

[4] H. S. Alayachi, M. S. M. Noorani, A. Q. Khan and M. B. Almatrafi, Analytic solutions and stability of sixth order difference equations, Mathematical Problems in Engineering (2020); Article ID 1230979, pp. 1-12.

DOI: https://doi.org/10.1155/2020/1230979 

[5] J. Bekteševic, M. Mehuljic and V. Hadziabdic, Global asymptotic behavior of some quadratic rational second-order difference equations, International Journal of Difference Equations 12(2) (2017), 169-183.

[6] X. Yang, W. Su, B. Chen, G. M. Megson and D. J. Evans, On the recursive sequence  Applied Mathematics and Computation 162(3) (2005), 1485-1497.

DOI: https://doi.org/10.1016/j.amc.2004.03.023 

[7] H. S. Alayachi, M. S. M. Noorani and E. M. Elsayed, Qualitative analysis of a fourth order difference equation, Journal of Applied Analysis and Computation 10(4) (2020), 1343-1354.

DOI: https://doi.org/10.11948/20190196 

[8] M. B. Almatrafi, E. M. Elsayed and F. Alzahrani, Investigating some properties of a fourth order difference equation, Journal of Computational Analysis and Applications 28(2) (2020), 243-253.

[9] A. M. Amleh and E. Drymonis, Eventual monotonicity in nonlinear difference equations, International Journal of Difference Equations 11(2) (2016), 123-137.

[10] A. Alshareef, F. Alzahrani and A. Q. Khan, Dynamics and solutions’ expressions of a higher-order nonlinear fractional recursive sequence, Mathematical Problems in Engineering (2021); Article ID 1902473, pp. 1-12.

DOI: https://doi.org/10.1155/2021/1902473 

[11] E. M. Elsayed, F. Alzahrani and H. S. Alayachi, Global attractivity and the periodic nature of third order rational difference equation, Journal of Computational Analysis and Applications 23(7) (2017), 1230-1241.

[12] E. M. Elsayed, M. M. El-Dessoky and A. Asiri, Dynamics and behavior of a second order rational difference equation, Journal of Computational Analysis and Applications 16(4) (2014), 794-807.

[13] M. Aloqeili, Dynamics of a rational difference equation, Applied Mathematics and Computation 176(2) (2006), 768-774.

DOI: https://doi.org/10.1016/j.amc.2005.10.024

[14] C. Çinar, On the positive solutions of the difference equation  Applied Mathematics and Computation 156(2) (2004), 587-590.

DOI: https://doi.org/10.1016/j.amc.2003.08.010 

[15] M. M. El-Dessoky and M. A. El-Moneam, On the higher order difference equation  Journal of Computational Analysis and Applications 25(2) (2018), 342-354.

[16] E. M. Elsayed, A. Alotaibi and H. A. Almaylabi, The behavior and closed form of the solutions of some difference equations, Journal of Computational and Theoretical Nanoscience 13(11) (2016), 8642-8651.

DOI: https://doi.org/10.1166/jctn.2016.6025 

[17] T. Ibrahim, Solvability and attractivity of the solutions of a rational difference equation, Journal of Pure and Applied Mathematics: Advances and Applications 2(2) (2009), 227-237.

[18] T. F. Ibrahim, A. Q. Khan and A. Ibrahim, Qualitative behavior of a nonlinear generalized recursive sequence with delay, Mathematical Problems in Engineering (2021); Article ID 6162320, pp. 1-8.

DOI: https://doi.org/10.1155/2021/6162320 

[19] R. Karatas, Global behavior of a higher order difference equation, International Journal of Contemporary Mathematical Sciences 12(3) (2017), 133-138.

DOI: https://doi.org/10.12988/ijcms.2017.7413  

[20] A. Khaliq, F. Alzahrani and E. M. Elsayed, Global attractivity of a rational difference equation of order ten, Journal of Nonlinear Sciences and Applications 9(6) (2016), 4465-4477.

DOI: https://doi.org/10.22436/jnsa.009.06.85

[21] A. Q. Khan, M. S. M. Noorani and H. S. Alayachi, Global dynamics of higher-order exponential systems of difference equations, Discrete Dynamics in Nature and Society (2019); Article ID 3825927, pp. 1-19.

DOI: https://doi.org/10.1155/2019/3825927 

[22] Y. Kostrov and Z. Kudlak, On a second-order rational difference equation with a quadratic term, International Journal of Difference Equations 11(2) (2016), 179-202.

[23] M. R. Kulenovic and G. Ladas, Dynamics of Second Order Rational Difference Equations: with Open Problems and Conjectures, Chapman and Hall/CRC, 2001.

[24] K. Liu, P. Li, F. Han and W. Zhong, Global dynamics of nonlinear difference equation  Journal of Computational Analysis & Applications 24(6) (2018), 1125-1132.

[25] M. Saleh and M. Aloqeili, On the difference equation  with  A < 0, Applied Mathematics and Computation 176(1) (2006), 359-363.

DOI: https://doi.org/10.1016/j.amc.2005.09.023 

[26] D. Simsek, C. Cinar, R. Karatas and I. Yalcinkaya, On the recursive sequence  International Journal of Pure and Applied Mathematics 28(1) (2006), 117-124.

[27] Y.-H. Su and W.-T. Li, Global asymptotic stability of a second-order nonlinear difference equation, Applied Mathematics and Computation 168(2) (2005), 981-989.

DOI: https://doi.org/10.1016/j.amc.2004.09.040 

[28] D. T. Tollu, Y. Yazlik and N. Taskara, Behavior of positive solutions of a difference equation, Journal of Applied Mathematics & Informatics 35(3-4) (2017), 217-230.

DOI: https://doi.org/10.14317/jami.2017.217

[29] E. M. E. Zayed and M. A. El-Moneam, On the rational recursive sequence  Acta Applicandae Mathematicae 111(3) (2010), 287-301.

DOI: https://doi.org/10.1007/s10440-009-9545-y