具有偏差变元的非线性微分方程解的振动性

The Oscillation of Solution to a Kind of Nonlinear Differential Equations with Deviation Variables

借助Lebesgue控制收敛定理推广到无界集上的积分形式和具有偏差变元的非线性微分不等式,讨论了一类一阶非线性具有偏差变元的超前型泛函微分方程解的存在性和振动性问题,给出了方程解振动的充分条件,推广了现有文献的结果.

In this paper, the existence and oscillation of solution to a kind of first - order nonlinear advanced functional differential equations with deviation variables is discussed by applying the spread of theory Lebesgue and nonlinear differential inequality with arguments. The sufficient condition of the oscillation of solution is given which improves some known results.