# On the global attractivity of difference equation of higher order

@inproceedings{LABBASY2008OnTG, title={On the global attractivity of difference equation of higher order}, author={E. M. E LABBASY}, year={2008} }

- Published 2008

where a, b, c and d ∈ (0,∞) with the initial values x−p, x−p+1, ..., x−1 and x0 ∈ (0,∞), where p is a positive integer. Here, we recall some notations and results which will be useful in our investigation. Let I be some interval of real numbers and let F : I → I be a continuously differentiable function. Then for every set of initial values x−k, x−k+1, ..., x0 ∈ I, the difference equation (1.2) xn+1 = F (xn, xn−1, . . . , xn−k), n = 0, 1, . . . , has a unique solution {xn}n=−k [11]. A point x… CONTINUE READING

#### From This Paper

##### Topics from this paper.

6 Citations

12 References

Similar Papers