Global asymptotic behavior of the difference equation y n + 1 = α ⋅ e − ( n y n + ( n − k ) y n − k ) β + n y n + ( n − k ) y n − k
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