利用一类积分不等式以及参数变易法, Jensen不等式, 给出了更为一般的 中立型时滞微分系统的 Lyapunov稳定性的判别准则,推广和改进了一些文献中有关 中立型微分方程的Lyapunov稳定性的结论.

In this paper, a new integral inequality is presented. The integral inequality, the classical formula of variation of constants and the Jensen inequality are effective in dealing with the stability of a kind of nonlinear neutral differential systems with variational delays. Several sufficient conditions of the stability properties of nonlinear differential systems with neutral delays are established. The results obtained improve and generalize some results already published.