On the solution of the recursive sequence

• Autorzy: Elabbasy E.M. , Elsayed E.M.
• Języki publikacji: EN

Abstrakty

EN

We obtain in this paper the solution of the following recursive sequence where the initial conditions x-2, x-1are arbitrary non zero real numbers.

Słowa kluczowe

EN

difference equation; recursive sequence; periodic solution

PL

równanie różnicowe; sekwencja rekurencyjna; okresowe rozwiązanie

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2009
• Tom: Nr 41
• Strony: 55--63
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Elabbasy E.M.

autor

Elsayed E.M.

• Department of Mathematics, Faculty of Science, Mansoura University, Egypt,

Bibliografia

• [1] Amleh A.M., Hoag J., Ladas G., A difference equation with eventually periodic solutions, Computers and Mathematics with Applications, 36(1998), 401-404.
• [2] Briden W.J., Grove E.A., Ladas G., Kent C.M., Eventually periodic solutions of xn+1 = max{l/xn, An/xn-1}, Comman Appl. Nonlinear Anal, 6(1999), 31-34.
• [3] Briden W.J., Nesemann T., Ladas G., On the recursive sequence xn+1 = max{l/xn, An/xn-1}, J. Differ. Equations Appl, 5(1999), 491-494.
• [4] Elabbasy E.M., El-Metwally H., Elsayed E.M., On the periodic nature of some max-type difference equation, Int. J. Math. Math. Sci., 14(2005), 2227-2239.
• [5] El-Metwally H., Grove E.A., Ladas G., A global convergence result with applications to periodic solutions, J. Math. Anal. Appl., 245(2000), 161-170.
• [6] El-Metwally H., Grove E.A., Ladas G., Voulov H.D., On the global attractivity and the periodic character of some difference equations, J. Diff. Equa. Appl, 7(2001), 837-850.
• [7] Kocic V.L., Ladas G., Global behavior of nonlinear difference equations of higher order with applications, Kluwer Academic Publishers, Dordrecht, 1993.
• [8] Simsek D., Cinar C., Yalcinkaya I., On the solutions of the difference equation xn+1 = max{xn-1, l/xn-1}, Int. J. Contemp. Math. Sci., 1(10)(2006), 481-487.
• [9] Simsek D., On the solutions of the difference equation xn+1 = max{xn-2, 1/xn-2}, Selçuk Universitesi Egitim Fakültesi Dergisi, 23(2007), 367-377.