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Abstrakty
The main objective of this paper is to study the global asymptotic stability and the periodic character of the rational difference equation …[wzór], n – 0,1,…, where the parameters a, β, ϒ, p, q are nonnegative real numbers and initial conditions are nonnegative real numbers l, r, k are nonnegative integers, such that l < k and r < k. Also, we give some numerical simulations to the equation to illustrate our results.
Czasopismo
Rocznik
Tom
Strony
39--52
Opis fizyczny
Bibliogr. 21 poz.
Twórcy
autor
- Department of Mathematics Faculty of Science Mansoura University Mansoura, 35516, Egypt
autor
- Department of Physics and Engineering Mathematics Faculty of Engineering Port-Said University, Egyp
Bibliografia
- [1] Ahmed A.M., On the dynamics of the recursive sequence …[wzór] Journal of Pure and Applied Mathematics Advances and Applications, 1(2) (2009), 215-223.
- [2] Aloqeili M., Dynamics of a rational difference equation, Applied Mathematics and Computation, 176(2)(2006), 768-774.
- [3] Battaloglu N., Cinar C., Yalcinkaya I., The dynamics of the difference equations …[wzór] ARS Combinatoria, 97(2010), 281-288
- [4] Cinar C., On the positive solutions of the difference equation …[wzór] Applied Mathematics and Computation,150(2004), 21-24
- [5] Elabbasy E.M, Kulenović M.R.S., Ladas G., Valicenti S.V., On the recursive sequence …[wzór] Nonlinear Analysis, 47(2001), 4603-4614.
- [6] Elabbasy E.M, El-Metwally H., Elsayed E.M., On the difference equation …[wzór] Journal of Concrete and Applicable Mathe-matics, 5(2)(2007), 101-113.
- [7] Elabbasy E.M., El-Metwally H., Elsayed E.M., Global behavior of the solutions of some difference equations, Advances in Difference Equations, (2011), 2011:28 DOI:10.1186/1687-1847-2011-28.
- [8] El-Afifi M.M.,On the recursive sequence …[wzór] Applied Mathematics and Computation, 147(2004), 617-628
- [9] El-Owaidy H.M., Ahmed A.M., Mousa M.S., On asymptotic behavior of the dierence equation …[wzór] Journal of Applied Mathematics and Computing,12(1-2)(2003), 31-37
- [10] El-Owaidy H.M., Ahmed A.M., Mousa M.S.,The dynamics of the recursive sequence …[wzór] Applied Mathematics Letters,18(2005),1013-1018
- [11] Elsayed E.M., Qualitative behavior of difference equation of order two, Mathematical and Computer Modelling, 50(2009), 1130-1141.
- [12] Elsayed E.M., Solution and attractivity for a rational recursive sequence, Discrete Dynamics in Nature and Society, vol. 2011, Article ID 982309, 17 pages.
- [13] Hamaza A.E., Khalaf-Allah R., Global asymptotic stability of a higher order difference equation, Journal of Mathematics, Bull. Korean Math. Soc., 44(3)(2007), 439-445.
- [14] Kocic V.L., Ladas G., Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer Academic Publishers, Dordrecht, 1993.
- [15] KulenoviC M.R.S., Merino O., Discrete Dynamical Systems and Difference Equations with Mathematica, CRC Press Company, 2002.
- [16] KulenoviC M.R.S., Ladas G., Dynamics of Second Order Rational Difference Equations with Open Problems and Conjectures, Chapman and Hall/CRC Press, 2001.
- [17] KulenoviC M.R.S., Ladas G., Prokup N.R., A rational difference equa-tion, Computers and Mathematics with Applications, 41(2001), 671-678.
- [18] Li L., Stability properties of nonlinear difference equations and conditions for boundedness, Computers and Mathematics with Applications, 38(1999), 29-35.
- [19] Yan X., Li W., Sun H., Global attractivity in a higher order nonlinear difference equation, Applied Mathematics E-Notes, 2(2002), 51-58.
- [20] Yan X., Li W., Global attractivity in a rational recursive sequence, Applied Mathematics and Computation, 145(2003), 1-12.
- [21] Yang X., Chen B., Megson G.M., Evans D.J., Global attractivity in a re-cursive sequence, Applied Mathematics and Computation, 158(2004), 667-682.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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