论文信息 - Asymptotic behavior of a sequence defined by iteration with applications

Asymptotic behavior of a sequence defined by iteration with applications

We consider the asymptotic behavior of some classes of sequences defined by a recurrent formula. The main result is the following: Let f : (0,1) 2 ! (0,1) be a continuous function such that (a) 0 0; (b) f(x,y) = px + (1 p)y P1=m Ks(x,y)

Stevo Stević | S. Stević

[1] E. C. Pielou,et al. An introduction to mathematical ecology , 1970 .

[2] R. Levins,et al. Oscillation and stability in a delay model of a perennial grass , 1995 .

[3] B. S. Goh,et al. Stability results for delayed-recruitment models in population dynamics , 1984 .

[4] G. Ladas,et al. Oscillations and global attractivity in a discrete delay logistic model , 1992 .

[5] H. Feshbach,et al. Finite Difference Equations , 1959 .

[6] R. Beverton,et al. On the dynamics of exploited fish populations , 1993, Reviews in Fish Biology and Fisheries.

[7] E. Copson. On a generalisation of monotonic sequences , 1970, Proceedings of the Edinburgh Mathematical Society.

[8] R. Levins,et al. Global Stability in Some Population Models , 2000 .

[9] D. Borwein. Convergence criteria for bounded sequences , 1972, Proceedings of the Edinburgh Mathematical Society.

[10] J. Bibby. Axiomatisations of the average and a further generalisation of monotonic sequences , 1974, Glasgow Mathematical Journal.

[11] D. Russell. On bounded sequences satisfying a linear inequality , 1974, Proceedings of the Edinburgh Mathematical Society.