一类高阶非线性时滞微分方程的渐近二分类。

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2019-01-01 Epub Date: 2019-01-07 DOI:10.1186/s13660-018-1949-7

Yunhua Ye, Haihua Liang

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引用次数: 3

摘要

利用广义Riccati变换和积分平均技术，证明了高阶非线性时滞微分方程y (n + 2) (t) + p (t) y (n) (t) + q (t) f (y (g (t)) = 0的所有解收敛于零或在本文定理中列出的某些条件下振荡。文中还举例说明了这些结果的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Asymptotic dichotomy in a class of higher order nonlinear delay differential equations.

Employing a generalized Riccati transformation and integral averaging technique, we show that all solutions of the higher order nonlinear delay differential equation $y^{(n + 2)} (t) + p (t) y^{(n)} (t) + q (t) f (y (g (t))) = 0$ will converge to zero or oscillate, under some conditions listed in the theorems of the present paper. Several examples are also given to illustrate the applications of these results.

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来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.