辽宁石油化工大学学报

辽宁石油化工大学学报 ›› 2017, Vol. 37 ›› Issue (2): 66-70.DOI: 10.3969/j.issn.1672-6952.2017.02.014

• 计算机与控制 • 上一篇    下一篇

一类高阶差分方程的无穷多非振荡解

刘 洋,潘 斌   

  1. 辽宁石油化工大学 理学院,辽宁 抚顺 113001
  • 收稿日期:2016-12-01 修回日期:2016-12-21 出版日期:2017-04-20 发布日期:2017-05-04
  • 基金资助:
    国家自然科学基金项目(61602228).

Infinitely Many Bounded Nonoscillatory Solutions of a Higher-Order Equation

Liu Yang,Pan Bin   

  1. College  of Sciences,Liaoning Shihua University,Fushun Liaoning 113001,China
  • Received:2016-12-01 Revised:2016-12-21 Published:2017-04-20 Online:2017-05-04

摘要:         研究了一类高阶非线性中立时滞差分方程,通过使用巴拿赫压缩映射原理,得到了该方程存在无穷多个有界非振荡解的充分条件,所得的结论改进了已有文献的结果。

关键词: 无穷多有界非振荡解,   ,  高阶中立型时滞差分方程,    , 压缩映射

Abstract:         This paper considers the solvability of a higher-order nonlinear neutral delay difference equation. By using the Banach contraction principle a sufficient condition of the existence of Infinitely many bounded nonoscillatory solutions of the equation is given,which fills a gap in the literature.

Key words: Infinitely many bounded nonoscillatory solutions,    , Higher-order neutral delay difference equation,    , Contraction mappin

引用本文

刘 洋,潘 斌. 一类高阶差分方程的无穷多非振荡解[J]. 辽宁石油化工大学学报, 2017, 37(2): 66-70.

Liu Yang,Pan Bin. Infinitely Many Bounded Nonoscillatory Solutions of a Higher-Order Equation[J]. Journal of Liaoning Petrochemical University, 2017, 37(2): 66-70.

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