Solutions Of The System Of Maximum Difference Equations

Year 2014, Volume: 2 Issue: 2, 9 - 22, 01.10.2014

Dağıstan Şimşek Ahmet Doğan

https://izlik.org/JA93XL73ZE

Abstract

The behaviour of the solutions of the following system of difference equations is examined.

Keywords

Difference Equation , Maximum Operations , Semicycle

Maksimumlu Fark Denklem Sisteminin Çözümleri

https://izlik.org/JA93XL73ZE

Abstract

Aşağıdaki fark denklem sisteminin çözümlerinin davranışları incelenmiştir.

Keywords

Fark Denklemi , Maksimum Operatörü , Yarı Dönmeler

References

• [1] Amleh A. M., Hoag J. and Ladas G. (1998). A Difference Equation With Eventualy Periodic Solutions, Comput. Math. Appl., 36(10-12), 401-404.
• [2] Janowski, E. J., Kocic, V. L., Ladas, G. and Tzanetopoulos, G., (1998). Global behaviour of solutions of , Journal of Difference Equations and Applications, 3, 297-310.
• [3] Valicenti, S.,(1999). Periodicity and Global Attractivity of Some Difference Equations, University of Rhode Island, (PhD Thesis).
• [4] Teixeria, C. T., (2000). Existence Stability Boundedness and Periodicity of Some Difference Equations, University of Rhode Island, (PhD Thesis).
• [5] Papaschinopoulos, G. and Hatzifilippidis, V., (2001). On a max difference equation, Journal of Mathematical Analysis and Applications, 258, 258-268.
• [6] Mishev D. P. and Patula W. T.,( 2002). A Reciprocal Difference Equation With Maximum, Comput. Math. Appl., 43, 1021-1026.
• [7] Voulov, H. D.,(2002). On the periodic character of some difference equations, Journal of Difference Equations and Applications, 8, 799-810.
• [8] Voulov, H. D.,(2002). Periodic solutions to a difference equation with maximum, Proceedings of the American Mathematical Society, 131, 2155-2160.
• [9] Feuer, J.,( 2003). Periodic solutions of the Lyness max equation, Journal of Mathematical Analysis and Applications, 288, 147-160.
• [10] Papaschinopoulos, G., Schinas, J. and Hatzifilippidis, V.,( 2003). Global behaviour of the solutions of a max-equation and of a system of two max-equation, Journal of Computational Analysis and Applications, 5, 2, 237-247.
• [11] Patula, W. T. and Voulov, H. D.,( 2004). On a max type recursive relation with periodic coefficients, Journal of Difference Equations and Applications, 10, 3, 329-338.
• [12] Cinar C., Stevic S. and Yalcinkaya I. (2005). On The Positive Solutions Of A Reciprocal Difference Equation With Minumum, J. Appl. Math. Computing, 17, 307-314.
• [13] Simsek, D., Cinar, C. and Yalcinkaya, I.,( 2006). On the solution of the difference equation , Int. J. Math. Sci., 1, 10, 481-487.
• [14] Yan, X., Liao, X. and Li, C.,(2006). On a difference equation with maximum, Applied Mathematics and Computation, 181, 1-5.
• [15] Simsek, D., Demir B. and Kurbanlı A.S.,( 2009). x{n+1}=max{1/(x{n},y{n}/x{n}}; y{n+1}=max{1/y{n},x{n}/y{n}} Denklem Sistemlerinin Çözümleri Üzerine, Ahmet Keleşoğlu Eğitim Fakültesi Dergisi, 28, 91-104.
• [16] Simsek D., Demir B. and Cinar C.,( 2009). On the Solutions of the System of Difference Equations x{n+1}=max{A/x{n},y{n}/x{n}}, y{n+1}=max{A/y{n},x{n}/y{n}}, Discrete Dynamics in Nature and Society, Volume 2009, Article ID 325296, 11 pages.
• [17] Simsek D., Kurbanlı A. S., Erdoğan M. E. , ( 2010). x(n+1) = max{1 \ x(n-1) ; y(n-1) \ x(n-1)} ; y(n+1) = max{1 \ y(n-1) ; x(n-1) \ y(n-1)} Fark Denklem Sisteminin Çözümleri, XXIII. Ulusal Matematik Sempozyumu, 153 pp, .04-07 Ağustos 2010, Erciyes Üniversitesi.