Globally dynamical behaviors for a class of nonlinear functional difference equation with almost periodic coefficients期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Also, some sufficient conditions are established for global attractivity of

. For the proof of existence and uniqueness of

, the method used here is better than contraction mapping principle. Meanwhile, when our main results applied to some famous discrete models (Lasota–Wazewska model and Hematopoiesis model), some new statements will be obtained and these results complement existing ones.

Globally dynamical behaviors for a class of nonlinear functional difference equation with almost periodic coefficients

Authors:	Xiao Wang Zhixiang Li

Affiliation:	^aDepartment of Mathematics and System Science, College of Science, National University of Defense Technology, Changsha 410073, PR China

Abstract:	A new approach will be used to obtained the existence and uniqueness of positive almost periodic solution of the following nonlinear functional difference equation: Δx(n)=-a(n)x(n)+f(n,x(n-τ(n))).

Keywords:	Almost periodic solution Cone Global attractivity
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