【摘要】 利用广义Riccati变换技术,研究时标上具有分布时滞的二阶非线性中立型动力方程的振动性,其中β>0是两个正奇数之比,获得了方程所有解振动的几个充分条件,推广和改进了一些已知的结果,并给出了几个应用实例.更多还原

【Abstract】 This paper is concerned with the oscillation of the second-order nonlinear neutral dynamic equation with distributed delay on an arbitrary time scale T,whereβ>0 is a quotient of odd positive integers.By employing the generalized Riccati transformation technique,several sufficient conditions for all solutions of the equation be oscillatory.The results extend and improve some known results.Some examples to illustrate the main results are given.更多还原