安徽大学学报（自然科学版）2026，Vol.50Issue(1)：34-40,7.DOI:10.3969/j.issn.1000-2162.2026.01.005
具有正负系数和非线性中立项的3阶时滞动力方程的振动性
Oscillation properties of third-order time-delay dynamic equations with positive and negative coefficients and nonlinear neutral terms
摘要
Abstract
This paper studied the oscillation and asymptotic behavior of a class of third-order time-delay dynamic equations with nonlinear neutral term.Firstly,by applying the inequality technique of integrals,sufficient conditions for the oscillation and asymptotic behavior of dynamic equations with sublinear neutral term were obtained.Then,by using the inequality technique,sufficient conditions for the oscillation of dynamic equations with superlinear neutral term and negative coefficients were derived.The theorems in this paper provided new methods for nonlinear neutral terms.Finally,examples were given to verify the main results.关键词
振动性/非线性中立项/3阶动力方程/时间轴Key words
oscillation/nonlinear neutral term/third-order dynamic equations/time scales分类
数理科学引用本文复制引用
赵春茹..具有正负系数和非线性中立项的3阶时滞动力方程的振动性[J].安徽大学学报（自然科学版）,2026,50(1):34-40,7.基金项目
梧州学院2021年博士基金资助项目(2021A001) （2021A001）
