具有无穷时滞中立型积分微分方程周期解的存在性、唯一性和稳定性

The Existence, Uniqueness and Stability of Periodic Solution on a Neutral Integro-Differential Equation with Infinite Delay

中文关键词:  一致稳定  一致有界  周期解  时滞

英文关键词:uniformly stability  uniformly boundedness  periodic solution  delay.

中文摘要:

      证明了一类具有无穷时滞的中立型积分微分方程解的一致有界性、一致稳定性、周期解的存在唯一性,推广和改进了王全义关于“无穷时滞的积分微分方程的周期解的存在性、唯一性与稳定性”的有关结果。

英文摘要:

      We prove the uniform boundedness, uniform stability of solution and unique existence of periodic solution on a neutral integro-differential equation with infinite delay, extend and improve the corresponding result made by Wang quan-yi on"the Existence, uniqueness and stability of periodic Solution on a integro-differential equation with infinite delay".