时标上具有多时滞的二阶中立型方程的振动性

Existence of Positive Solution for Second-Order Neutral Dynamic Equations on Time Scales

中立型方程是一类重要的微分方程,其振动性理论在计算机、生物等许多领域中都有着非常广泛的应用,本研究考虑了时标T上具有正负系数和多个变时滞的二阶中立型动力方程,针对P(t)的不同取值,给出了方程的若干振动准则。

Neutral equation is an important class of differential equations and its oscillation theory has been widely applied in computer, biology and many other fields. The second-order neutral dynamic equation with positive/negative coefficients and multi-delays was considered to set up several oscillation criteria of the equa- tion according to different values of P（t）.