On the solution of recursive sequence of order two

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

Abstrakty

EN

We obtain in this paper the solution of the following difference equation (formula), n= 0, 1,... where the initial conditions x_-1, x₀ are arbitrary real numbers.

Słowa kluczowe

EN

difference equation; recursive sequence; periodic solution

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2008
• Tom: Nr 40
• Strony: 5--13
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Elsayed E. M.

• Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt,

Bibliografia

• [1]ClNAR C., On the positive solutions of the difference equation , Appl Math. Comp., 158(3)(2004), 809-812.
• [2]ClNAR C., On the positive solutions of the difference equation , Appl. Math. Comp., 158(3)(2004), 793-797.
• [3]CINAR C., On the positive solutions of the difference equation , Appl. Math. Comp., 156(2004), 587-590.
• [4]ELABBASY E. M., EL-METWALLY H., ELSAYED E. M., On the difference equation , Adv. Differ. Equ., Volume 2006, Article ID 82579, 1-10.
• [5]ELABBASY E. M., EL-METWALLY H., ELSAYED E. M., On the difference equations , J. Cone. Appl. Math., 5(2)(2007), 101-113.
• [6]ELABBASY E. M., EL-METWALLY H., ELSAYED E. M., Qualitative behavior of higher order difference equation, Sooehow Journal of Mathematical,33(4)(2007), 861-873.
• [7]EL-METWALLY H., GROVE E. A., LADAS G., MCGRATH, On the difference equation , New Progress in Difference Equations,CRC, 2004, 433-453.
• [8]KARATAS R., CINAR C., SIMSEK D., On positive solutions of the difference equation , Int. J. Contemp. Math. Sci., 1(10)(2006), 495-500.
• [9]KOCIC V. L., LADAS G., Global behavior of nonlinear difference equations of higher order with applications, Kluwer Academic Publishers, Dordrecht, 1993.
• [10]KULENOVIC M.R.S., LADAS G., Dynamics of Second Order Rational Difference Equations with Open Problems and Conjectures, Chapman Hall / CRC Press, 2001.
• [11]SIMSEK D., CINAR C., YALCINKAYA I., On the recursive sequence , Int. J. Contemp. Math. Sci., 1(10)(2006), 475-480.