Infinitely Many Bounded Nonoscillatory Solutions of a Higher-Order Equation

doi:10.3969/j.issn.1672-6952.2017.02.014

Journal of Liaoning Petrochemical University ›› 2017, Vol. 37 ›› Issue (2): 66-70.DOI: 10.3969/j.issn.1672-6952.2017.02.014

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Infinitely Many Bounded Nonoscillatory Solutions of a Higher-Order Equation

Liu Yang,Pan Bin

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

一类高阶差分方程的无穷多非振荡解

刘洋,潘斌

辽宁石油化工大学理学院,辽宁抚顺 113001

基金资助:
国家自然科学基金项目(61602228).

Abstract

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

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

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.

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.

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Infinitely Many Bounded Nonoscillatory Solutions of a Higher-Order Equation

一类高阶差分方程的无穷多非振荡解

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