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The main objective of this paper is to study the behavior of solutions of the difference equation ...[wzór] where the initial conditions x-r, x-r+1,...,x0 are arbitrary positive real numbers, r = max{q, l,p} is nonnegative integer and a, b, c, d are positive constants. Also, we give the solution of some special cases of this equation.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
33--50
Opis fizyczny
Bibliogr. 29 poz.
Twórcy
autor
- Department of Mathematics Faculty of Science Mansoura University Mansoura, 35516, Egypt
autor
- Department of Physicis and Engineering Mathematics Faculty of Engineering Port-Said University, Egypt
Bibliografia
- [1] Aboutaleb M.T., El-Sayed M.A., Hamz A.E., Stability of the recursive sequence …[wzór], Journal of Mathematical Analysis and Applications, 261(2001), 126-133. "
- [2] Abu-Saris R.M., DeVault R., Global stability of…[wzór], Applied Mathematics Letters, 16(2003), 173-178.
- [3] Aloqeili M., Dynamics of a rational difference equation, Appl. Math. Com- put, 176(2)(2006), 768-774.
- [4] Amleh A.M., Grove E.A., Ladas G., On the recursive sequence …[wzór], Journal of Mathematical Analysis and Applications, 233(1999), 790-79Xgi.
- [5] Cinar C., On the positive solutions of the difference equation …[wzór] Applied Mathematics and Computation, 150(2004), 21-24.
- [6] Cunningham K., Kulenovic M.R.S., Ladas G., Valicenti S.V., On the recursive sequence …[wzór], Nonlinear Analysis, 47(2001), 4603-4614.
- [7] Elabbasy E.M., El-Metwally H., Elsayed E.M., On the difference equation …[wzór], Journal of Concrete and Applicable Mathematics, 5(2)(2007), 101-113.
- [8] Elabbasy E.M., El-Metwally H., Elsayed E.M., Global behavior of the solutions of some difference equa- tions, Advances in Difference Equations, (2011), 2011:28 doi:10.1186/1687-1847-2011-28.
- [9] Elabbasy E.M., El-Metwally H., Elsayed E.M., On the difference equation …[wzór] Adv. Difference Equ., 2006 Article ID 82579,
- [10] El-Afifi M.M., On the recursive sequence …[wzór], Applied Mathematics and Computation, 147(2004), 617-628.
- [11] El-Owaidy H.M., El-Afifi M.M., A note on the periodic cycle of…[wzór], Applied Mathematics and Computation, 109(2000), 301-306.
- [12] El-Owaidy H.M., Ahmed A.M., Mousa M.S., On the recursive sequences…[wzór], Applied Mathematics and Computation, 145(2003), 747-753.
- [13] Elsayed E.M., Qualitative behavior of difference equation of order two, Mathematical and Computer Modelling, 50(2009), 1130-1141.
- [14] Elsayed E.M., Solution and attractivity for a rational recursive sequence, Discrete Dynamics in Nature and Society, vol. 2011 Article ID 982309, 17 pages.
- [15] Elsayed E.M., Qualitative Properties for a Fourth Order Rational Difference Equation, Acta Applicandae Mathematical, 110(2)(2010), 589-604.
- [16] Gibbons C., Kulenovic M.R.S., Ladas G., On the recursive sequence…[wzór], Mathematical Sciences Research Hot-Line, 4(2)(2000), 1-11.
- [17] Kovic V.L., Ladas G., Rodrigues I.W., On rational recursive sequences, Journal of Mathematical Analysis and Applications, 173(1993), 127-157.
- [18] Kocic V.L., Ladas G., Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer Academic Publishers, Dordrecht, 1993.
- [19] Kosmala W.A., Kulenovic M.R.S., Ladas G., Teixeira C.T., On the recursive sequence …[wzór], Journal of Mathematical Analysis and Applications, 251(2000),571-586. "
- [20] Kulenovic M.R.S., Ladas G., Dynamics of Second Order Rational Difference Equations with Open Problems and Conjectures, Chapman & Hall CRC Press, 2001.
- [21] Kulenovic M.R.S., Ladas G., Prokup N.R., A rational difference equation, Computers & Mathematics with Applications, 41(2001), 671-678.
- [22] Li L., Stability properties of nonlinear difference equations and conditions for boundedness, Computers & Mathematics with Applications, 38(1999), 29-35.
- [23] Li W., Sun H., Global attractivity in a rational recursive sequence, Dynamic Systems and Applications, 11(2002), 339-346.
- [24] Yan X., Li W., Global attractivity in the recursive sequence …[wzór], Applied Mathematics and Computation, 138(2003), 415-423.
- [25] Yan X., Li W., Sun H., Global attractivity in a higher order nonlinear difference equation, Applied Mathematics E-Notes, 2(2002), 51-58.
- [26] Yan X., Li W., Global attractivity in a rational recursive sequence, Applied Mathematics and Computation, 145(2003), 1-12.
- [27] Yang X., Su W., Chen B., Megson G.M., Evans D.J., On the recursive sequence …[wzór]Applied Mathematics and Computation, 162(2005), 1485-1497.
- [28] Yang X., Chen B., Megson G.M., Evans D.J., Global attractivity in a recursive sequence, Applied Mathematics and Computation, 158(2004), 667-682.
- [29] Zayed E.M.E., El-Moneam M.A., On the rational recursive sequence …[wzór], Commun. Appl. Nonlinear Anal., 15 (2008), 47-57.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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