文章基本信息

标题：Solvability of a Higher-Order Nonlinear Neutral Delay Difference Equation
本地全文：下载
作者：Min Liu ; Zhenyu Guo
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2010
卷号：2010
期号：1
页码：767620
DOI：10.1155/2010/767620
语种：English
出版社：Hindawi Publishing Corporation
摘要：The existence of bounded nonoscillatory solutions of a higher-order nonlinear neutral delay difference equation , , where , , , and are integers, and are real sequences, , and is a mapping, is studied. Some sufficient conditions for the existence of bounded nonoscillatory solutions of this equation are established by using Schauder fixed point theorem and Krasnoselskii fixed point theorem and expatiated through seven theorems according to the range of value of the sequence . Moreover, these sufficient conditions guarantee that this equation has not only one bounded nonoscillatory solution but also uncountably many bounded nonoscillatory solutions.
关键词：Differential Equation ; Partial Differential Equation ; Ordinary Differential Equation ; Functional Analysis ; Functional Equation