非线性中立型时滞微分方程的振动性

基金项目:

广东省自然科学基金资助项目

详细信息

OSCILLATION OF NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS

摘要: 研究一类一阶非线性中立型时滞微分方程的振动性, 运用反证法, 并利用时滞微分不等式与时滞微分方程解的关系、广义特征不等式及交换积分次序等方法, 建立了该类方程几个新的振动准则, 并给出了例子说明定理的应用.
- 时滞微分方程 /
- 中立型 /
- 振动
Abstract: The problems on the hyper-order, the e-type order, and the dependence of solutions for a class of higher order linear differential equations with periodic coefficients are studied. Furthermore, the followings are obtained: some relations between e-type order and hyper-order, and precise relation between the two kinds of order and coefficients.
- delay differential equation /
- neutral type /
- oscillation