非线性具偏差变元的时超泛函微分方程解的振动性

Oscillations of the Solutions of First--Order Nonlinear Advanced FunctionalDifferential Equation with Arguments

本文研究了一阶非线性具偏差变元的超前型泛函微分方程：ｘ（ｔ）＝ａ（ｔ）∏ｍｉ＝１［ｘ（ｔ＋ｒｊ（ｔ））］αｊ（＊）及ｘ（ｔ）＝ａ（ｔ）ｆ［ｘ（ｔ＋ｒ１（ｔ）），ｘ（ｔ＋ｒ２（ｔ）），…，ｘ（ｔ＋ｒｍ（ｔ）］＋ｇ［ｔ，ｘ（ｔ），ｘ（ｔ＋ｒ１（ｔ）），…，ｘ（ｔ＋ｒｍ（ｔ））］（＊＊）解的振动性问题。

In this papar ,the oscillations of the solutions of first-order nonlinear advanced functional differential equation with argumcnts X(t)=a(t) mj=1[X(t+r j(t))] =j(*) and X(t)=a(t)f[X(t+r 1(t)),X(t+r 2(t)),…,X(t+r m(t))] +g[t,X(t),X(t+r 1(t)),…,X(t+r m(t))](**) sufficient condition for all solutions of the oscillutory are oblained (*) and (**).