Global asymptotic behavior of the difference equation yn+1=αe(nyn+(nk)ynk)β+nyn+(nk)ynk

Applied Mathematics Letters - Tập 22 - Trang 595-599 - 2009
I. Ozturk1, F. Bozkurt2, S. Ozen3
1Department of Mathematics, Erciyes University (KMYO), Kayseri, 38039, Turkey
2Department of Mathematics, Faculty of Education, Erciyes University, Kayseri, 38039, Turkey
3Department of Mathematics, Faculty of Science and Arts, Erciyes, Kayseri, 38039, Turkey

Tài liệu tham khảo

Ozturk, 2006, On the difference equation yn+1=α+βe−ynγ+yn−1, Applied Mathematics and Computations, 181, 1387, 10.1016/j.amc.2006.03.007 El-Metwally, 2001, On the difference equation xn+1=α+βxn−1e−xn, Nonlinear Analysis, 47, 4623, 10.1016/S0362-546X(01)00575-2 Gibbons, 2002, On the trichotomy character of xn+1=(α+βxn+γxn−1)/(A+xn), Journal of Difference Equations and Applications, 8, 75, 10.1080/10236190211940 Kuruklis, 1994, The asymptotic stability of xn+1−axn+bxn−k=0, Journal of Mathematical Analysis and Applications, 188, 719, 10.1006/jmaa.1994.1457 Kosmala, 2000, On the recursive sequence yn+1=p+yn−1qyn+yn−1, Journal of Mathematical Analysis and Applications, 2, 571, 10.1006/jmaa.2000.7032 De Vault, 2001, Global behavior of yn+1=p+yn−kqyn+yn−k, Nonlinear Analysis, 47, 4743, 10.1016/S0362-546X(01)00586-7 He, 2004, Attractivity in a nonlinear delay difference equation, Applied Mathematics, E-Notes, 4, 48