非线性时滞微分方程振动的充要条件及应用

On the Necessary and Sufficient Conditions for the Oscillation of Nonlinear Delay Differential Equations and Their Applications

摘要: 首先给出了一阶非线性时滞微分方程所有解振动的充要条件和充分条件,然后应用这个结果,研究了一类非线性中立型方程的振动性,改进和推广了魏俊杰等撰写的论文中的一些结果。

Abstract: Necessary and sufficient conditions and verifiable sufficient conditions for the oscillation of nonlinear delay differential equations are given. As an application, sufficient conditions for the oscillation of nonlinear neutral delay differential equation are derived. The results obtained provide extension and improvement in relevant literature.