一类三阶非线性时滞微分方程的振动性
Oscillation of a Class of Third Order Nonlinear Delay Differential Equations
赵玉萍1
作者信息
- 1. 青海民族大学数学与统计学院,青海西宁 810007
- 折叠
摘要
为进一步发展和完善微分方程的振动理论,研究了一类三阶非线性时滞微分方程解的振动性和渐近性.利用Riccati变换、不等式技巧和分析性质,获得了该类方程振动的充分条件,最后用例子进行了验证.
Abstract
In order to develop and improve the oscillation theory on differential equations,the present article explore the oscillation criteria and asymptotic behavior of solutions for a class of third order nonlinear delay differential equations.By using Riccati transformation,inequality techniques and analytical properties,the sufficient conditions for the oscillation of the equations are established.Finally,these are verified by analyzing an example.
关键词
Riccati变换/振动性/非线性/正解/时滞Key words
Riccati transformation/Oscillation criteria/Nonlinear/Positive solution/Delay引用本文复制引用
基金项目
国家自然科学基金(12161071)
青海省科技厅项目(2023-ZJ-949Q)
出版年
2024
NETL
NSTL
万方数据