Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626604 | Applied Mathematics and Computation | 2015 | 10 Pages |
Abstract
Consider the following nonlinear difference equation of order k + 1 with a forcing term equation(0.1)xn+1−anxn+bnf(xn−k)=rn,n=0,1,…where {an} is a positive sequence in (0, 1], {bn} is a positive sequence, {rn} is a real sequence, k is a nonnegative integer, and f: (τ, ∞) → (τ, ∞) is a continuous function with −∞ ≤ τ ≤ 0. We establish a sufficient condition for every solution of Eq. (0.1) to converge to zero as n → ∞. Several new global attractivity results are obtained for some special cases of Eq. (0.1) which have been studied widely in the literature. Our results can be applied to some difference equations derived from mathematical biology.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
D.D. Hai, C. Qian,