Almost automorphy profile of solutions for difference equations of Volterra type

被引：18
作者：
Agarwal R.P. [1 ]
Cuevas C. [2 ]
Dantas F. [2 ]
机构：
[1] Department of Mathematics, Texas AandM University-Kingsville, Kingsville
[2] Departamento de Matemática, Universidade Federal de Pernambuco
来源：
Journal of Applied Mathematics and Computing | 2013年 / 42卷 / 1-2期
关键词：
Almost automorphic functions; Perturbation theory; Volterra difference equation;
D O I：
10.1007/s12190-012-0615-3
中图分类号：
学科分类号：
摘要：
This work deals with the almost automorphic profile of solutions of the nonlinear Volterra difference equation u(n+1) = λ∑j na(n-j)u(j) + f(n,u(n)), for λ in a distinguished subset of the complex plane, where a(n) is a complex summable sequence and the perturbation f is a non-Lipschitz nonlinearity. Many illustrating remarks and examples are considered. © 2012 Korean Society for Computational and Applied Mathematics.
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页码：1 / 18
页数：17
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