On the solutions of a rational system of difference equations

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

Abstrakty

EN

In this paper we deal with the solutions of the system of the difference equations x_n+1 = ...[wzór], y_n+1 = ...[wzór], with a nonzero real numbers initial conditions.

Słowa kluczowe

EN

difference equation; boundedness; periodic solution

PL

równanie różnicowe; ograniczoność; okresowe rozwiązanie

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2010
• Tom: Nr 45
• Strony: 25--36
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Elsayed E. M.

• King AbdulAziz University Faculty of Science Mathematics Department P. O. Box 80203, Jeddah 21589, Saudi Arabia Permanent address: Department of Mathematics Faculty of Science Mansoura University Mansoura 35516, Egypt,

Bibliografia

• [1] Aloqeili M., Dynamics of a rational difference equation, Appl. Math. Comp., 176(2)(2006), 768-774.
• [2] Atasever N., Yalҫinkaya I., On a class of difference equations, Fasciculi Mathematici, 43 (2010), (in press).
• [3] Cinar C., On the positive solutions of the di erence equation system xn+1 = ...[wzór], yn+1= ...[wzór], Appl. Math. Comp., 158(2004), 303-305.
• [4]Cinar C., Yalҫinkaya I., On the positive solutions of the difference equation system xn+1 = ...[wzór], yn+1 = ...[wzór], zn+1 = ...[wzór], International Mathematical Journal, 5(2004), 525-527.
• [5]Cinar C., Yalҫinkaya I., On the positive solutions of the difference equation System xn+1 = ...[wzór], yn+1 = ...[wzór], zn+1 = ...[wzór], J. Inst. Math. Comp. Sci., 18(2005), 91-93.
• [6] Cinar C., Yalҫinkaya I., Karatas R., On the positive solutions of the difference equation system xn+1 = ...[wzór], yn+1 = ...[wzór], J. Inst. Math. Comp. Sci., 18(2005), 135-136.
• [7] Cinar C., Yalҫinkaya I., On the positive solutions of difference equation system xn+1 = ...[wzór], yn+1 = ...[wzór], zn+1 = ...[wzór], International Mathematical Journal, 5(5)(2004), 517-519.
• [8] Elabbasy E.M., El-Metwally H. Elsayed E.M., On the solutions of a class of difference equations systems, Demonstratio Mathematica, 41(1)(2008), 109-122.
• [9] Elabbasy E.M., Elsayed E.M., On the Solution of Recursive Sequence xn+1 = max ...[wzór], Fasc. Math., 41(2009), 55-63.
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• [21] Simsek D., Cinar C., Yalcinkaya I., On the recursive sequence xn+1 = ...[wzór], Int. J. Contemp. Math. Sci., 1(10)(2006), 475-480.
• [22] Simsek D., Cinar C., Karatas R., Yalcinkaya I., On the recursive sequence xn+1 = ...[wzór], Int. J. of Pure and Appl. Math., 28(2006), 117-124.
• [23] Yalҫinkaya I., Cinar C., On the dynamics of the difference equation xn+1= ...[wzór], Fasc. Math., 42 (2009), 141-148.
• [24] Yalҫinkaya I., Atasever N., Cinar C., On the difference equation xn+1 = α + ...[wzór], Demonstratio Mathematica, (in press).
• [25] Yalҫinkaya I, Cinar C., Global asymptotic stability of a system of two nonlinear difference equations, Fasc. Math., 43(2010), 172-180.
• [26] Yalҫinkaya I., Cinar C., Atalay M., On the solutions of systems of difference equations, Advances in Difference Equations, Vol. 2008, Article ID 143943, 9 pages, doi: 10.1155/2008/143943.
• [27] Yalҫinkaya I., On the global asymptotic stability of a second-order system of difference equations, Discrete Dynamics in Nature and Society, Vol. 2008, Article ID 860152, 12 pages, doi: 10.1155/2008/ 860152.
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• [29] Zayed E.M.E., El-Moneam M.A., On the rational recursive sequence xn+1 = axn - ...[wzór], Comm. Appl. Nonlinear Analysis, 15(2008), 47-57.