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OA
Oscillation properties of third-order time-delay dynamic equations with positive and negative coefficients and nonlinear neutral terms
研究一类具有非线性中立项的 3 阶时滞动力方程振动性和渐近性.首先应用积分的不等式技巧得出具有次线性中立项的动力方程振动性和渐近性的充分条件,然后应用不等式技巧得出具有超线性中立项和负系数的动力方程振动性的充分条件.论文的定理就非线性中立项而言提供了新方法.最后给出例子验证主要结果.
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.
赵春茹
梧州学院 广西机器视觉与智能控制重点实验室,智能软件广西高校重点实验室,广西 梧州 543002
数理科学
振动性非线性中立项3阶动力方程时间轴
oscillationnonlinear neutral termthird-order dynamic equationstime scales
《安徽大学学报（自然科学版）》 2026 (1)
34-40,7
梧州学院2021年博士基金资助项目(2021A001)
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