具有负扰动项二阶中立型非线性动力方程的振动性与渐近性质

Oscillatory and Asymptotic Behavior for Second-Order Nonlinear Neutral Dynamic Equations With Negative Disturbed Term

本文讨论时标上具有负扰动项的二阶中立型非线性动力方程的振动性与渐近性质,获得了适用于所有时标的动力方程解的振动性和渐近性的充分条件,阐述了方程中各项的系数在方程解的定性性质中的作用,推广和改进了已有文献的有关结果,并给出了应用实例.

In this paper,we discuss the oscillatory and asymptotic behavior for second-order nonlinear neutral dynamic equations with negative disturbed terms on time scales.We establish some new oscillation criteria which are the sufficient condition for dynamic equations on all time scales to have oscillatory and asymptotic solutions.Effects of coefficient of all the terms in the equation are stated.Some relevant results in the existing papers are improved and generalized in this paper.Finally,several examples are given to illustrate the applications of the obtained results.