含有强迫项的高阶非线性中立型微分方程的振动性

doi:10.3969/j.issn.1000-1565.2019.02.002

河北大学学报(自然科学版) ›› 2019, Vol. 39 ›› Issue (2): 118-123.DOI: 10.3969/j.issn.1000-1565.2019.02.002

含有强迫项的高阶非线性中立型微分方程的振动性

李静¹, 蔡海²,王培光²

收稿日期:2018-10-28 出版日期:2019-03-25 发布日期:2019-03-25
作者简介:李静(1976—),女,河北枣强人,河南省轨道交通智能安全技术研究中心讲师,主要从事计算数学的研究. E-mail:blueqily@163.com
基金资助:
国家自然科学基金资助项目(11271106)

Oscillation of higher order nonlinear neutral differential equations with forced term

LI Jing¹, CAI Hai², WANG Peiguang²

1.Henan Engineering Research Center of Rail Transit Intelligent Security, Zhengzhou 450000, China; 2. College of Mathematics and Information Science, Hebei University, Baoding 071002, China

Received:2018-10-28 Online:2019-03-25 Published:2019-03-25

摘要/Abstract

摘要： 考虑了一类含有强迫项的高阶非线性中立型微分方程,通过运用Krasnoselskii's不动点定理和分析技巧, 得到了该方程每一个有界解振动或趋于零的充要条件.所得结果改进了一些已知结论, 并给出了实例验证.

关键词: 中立型方程, 强迫, 有界解.

Abstract: In this paper, we investigate a class of higher order nonlinear neutral differential equations with forced term.By using Krasnoselskii's fixed point theorem and analytical technique, new necessary and sufficient conditions are obtained for every bounded solution which either oscillates or tends to zero. In particular, the obtained results improve some known results and two examples are given to show the applications of the results.

Key words: neutral equations, forced, bounded solutions1〓预备知识

中图分类号:

O175.1

李静, 蔡海,王培光. 含有强迫项的高阶非线性中立型微分方程的振动性[J]. 河北大学学报(自然科学版), 2019, 39(2): 118-123.

LI Jing, CAI Hai, WANG Peiguang. Oscillation of higher order nonlinear neutral differential equations with forced term[J]. Journal of Hebei University (Natural Science Edition), 2019, 39(2): 118-123.

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含有强迫项的高阶非线性中立型微分方程的振动性

Oscillation of higher order nonlinear neutral differential equations with forced term

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