非线性奇阶时滞微分方程解的振动性

Oscillation for Solutions of Odd Order Nonlinear Delay Differential Equations

给出奇阶时滞微分方程ｘ（ｎ）（ｔ）＋Ｑ（ｔ）ｆ（ｘ（ｇ（ｔ）））＝０的一切解均为振动的充分条件和必要条件；当ｎ＝１，Ｑ（ｔ）＞０，ｆ（ｘ）＝ｘα，α∈（０，１）是两个奇数之比，ｇ（ｔ）＝ｔ－τ，τ＞０时，方程的一切解均为振动的必要充分条件是∫∞Ｑ（ｓ）ｄｓ＝∞．

A necessary and sufficient condition was obtained for oscillation of solutions of odd order nonlinear delay differential equations.