曾志刚. 具两个时滞的临界微分方程的稳定性[J]. 信阳师范学院学报(自然科学版), 2003, 16(1): 7-9.
引用本文: 曾志刚. 具两个时滞的临界微分方程的稳定性[J]. 信阳师范学院学报(自然科学版), 2003, 16(1): 7-9.
ZENG Zhi gang. Stability of differential equations with two delays[J]. Journal of Xinyang Normal University (Natural Science Edition), 2003, 16(1): 7-9.
Citation: ZENG Zhi gang. Stability of differential equations with two delays[J]. Journal of Xinyang Normal University (Natural Science Edition), 2003, 16(1): 7-9.

具两个时滞的临界微分方程的稳定性

Stability of differential equations with two delays

  • 摘要: 考虑了一类带两个时滞的临界微分方程的稳定性 ,这类时滞微分方程两个时滞项的系数可以变号 ,不满足所谓的 Yorke条件 .利用比较方法和分析技巧 ,得到一些判定指数渐近稳定和渐近稳定的充分条件 .

     

    Abstract: Stability for the critical differential equation with two delays is discussed,the differential equation,whose coefficients can be time varying,is not satisfied the so called Yorke condition.Some sufficient conditions are obtained to guarantee the exponentially asymptotical stability and the asymptotical stability via the analytical technique and comparison approach.

     

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