测度链上一类Volterra型积分方程在有界扰动下的稳定性分析

摘要

The stability of the zero solution of a kind of Volterra type integral equations with respect to two clas-ses of bounded perturbations were studied on time scales. By using Lyapunov direct method and some inequali-ty techniques, some sufficient conditions for the stability of zero solution for the model were established on time scales. Finally, an example was given to demonstrate the validity of the conditions of the main results.%本文研究了测度链上的一类Volterra型积分方程在两类有界扰动下零解的稳定性。通过利用Lyapunov直接法和一些不等式技巧，得到了测度链上一些关于零解稳定的充分条件。最后给出一个例子验证了主要结果的有效性。