几类三阶非线性微分差分方程平凡解的稳定性

ON THE STABILITY OF ZERO SOLUTION FOR SOME CLASS OF NONLINEAR DIFFERENTIAL DIFFERENCE EQUATIONS

本文讨论几类三阶非线性微分差分方程平凡解的稳定性,为了作出恰当的泛函,我们使用J.A.Walker、L.G.Clark的积分法并加以改进。从而得到若干充分性条件。这些条件简单,易于实现。

In this paper, we discuss the stabilityof zero solution for some class of three order nonlinear differential difference equations.For constructing the proper Liapunov functional, we use the integral method of J.A.Walker and L.G.Clark, and make some improvements. Some sufficient conditions are obtained, and they are simple and clear.