On a class of rational difference equations

• Autorzy: Atasever N. , Yalcinkaya I.
• Języki publikacji: EN

Abstrakty

EN

In this paper we study the behavior of the positive solutions of the following nonlinear difference equation ...[wzór], n = 0, 1, 2, ... where the initial values ...[wzór] and k = 0, 1, 2, . . ..

Słowa kluczowe

EN

period (3k+3) solution; difference equation; positive solutions

PL

równanie różnicowe

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2010
• Tom: Nr 43
• Strony: 13--18
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Atasever N.

autor

Yalcinkaya I.

• Selcuk University, Education Faculty Mathematics Department 42090, Meram Yeni Yol, Konya, Turkiye,

Bibliografia

• [1] Cinar C., On the positive solutions of the difference equation xn+1 = xn−1 /1 + xnxn−1, Appl. Math. and Comp., 150(2004), 21-24.
• [2] Cinar C., On the periodic cycle of xn+1 = (an+bnxn)/(cnxn−1), Appl. Math. and Comp., 150(2004), 1-4.
• [3] Cinar C., On the positive solutions of the difference equation xn+1 = (axn−1) /(1 + bxnxn−1), Appl. Math. Comp., 156(2004) 587-590.
• [4] Cinar C., On the positive solutions of the difference equation xn+1 = (xn−1) /(−1 + axnxn−1), Appl. Math. Comp., 158(3)(2004), 793-797.
• [5] Cinar C., On the positive solutions of the difference equation xn+1 = (xn−1) /(1 + axnxn−1), Appl. Math. Comp., 158(3) (2004), 809-812.
• [6] Simsek D., Cinar C., Yalcinkaya I., Karatas R., On the recursive sequence xn+1 = xn−5/(1 + xn−1xn−3), Int. Journal of Pure and Applied Math., 28(1)(2006), 117-124.
• [7] Simsek D., Cinar C., Yalcinkaya I., On the recursive sequence xn+1 = xn−(5k+9)/(1 + xn−4xn−9...xn−(5k+4)), Taiwanese J. Math., December (2008) (in press).
• [8] Stevic S., On the recursive sequence xn+1 = g(xn, xn−1)/(A + xn), Appl. Math. Lett., 15(2002), 305-308.
• [9] Stevic S., On the recursive sequence xn+1 = xn−1/g(xn), Taiwanese J. Math., 6(3)(2002), 405-414.
• [10] Stevic S., Periodic character of a class of difference equation, J. Differ. Equations Appl., 10(6)(2004), 615-619.