非线性积分微分方程组的振动性

Oscillation of Nonlinear Integrodifferential Equations

本文建立了积分微分方程组（１）不存在［Ｔ，∝］，Ｔ≥０上的解，使得其每一分支在［０，∝］上恒正或恒负的条件；其次，我们建立了方程组（１）存在［Ｔ，∝］，Ｔ＞０上的解使其每一分支在［０，∝］上恒正的条件；最后，上述结果还被推广到非线性积分微分方程组。

This paper establishes the condition for the equations(1)for which theredoes not exist the solutions on[T,∝)(T≥0)such that each of the solutions is positive ornegative. The condition is also given for the equations to prove the existence of solutions on[T,∝)such that the each of the solutions is positive. The results are generalized tononlinear Integrodifferential equations