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关于滞后型泛函微分方程的稳定性

ON STABILITY OF THE RETARDED FUNCTIONAL DIFFERENTIAL EQUATION
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摘要 由于有界滞量与无异滞量FDE均可看成无穷时滞FDE的特例,本文尝试按容许空间上稳定性以统一的方法研究滞后型FDE稳定性,把现有文献中对有界滞量FDE稳定性(含不稳定)的主要结果推广到一般滞后型FDE,总结并改进现有文献对此三类方程稳定性的主要结果. In fact FDE with bounded retard and FDE with unbounded retard are special cases of FDE with infinite delay. This paper deals with stability of retarded FDE by stability on permitted space. In the same method, extension is made of main result on stability (including unstability)of FDE with bounded retard to generally retarded FDE. Main results on stability of the three types of FDE are summarized and improved.
作者 谢彦麟
出处 《华南师范大学学报(自然科学版)》 CAS 1993年第2期25-33,共9页 Journal of South China Normal University(Natural Science Edition)
关键词 滞后型 泛函微分方程 稳定性 有界滞量 无界滞量 retarded FDE stability unstable bounded retard unbounded retard infinite delay
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参考文献3

  • 1谢彦麟.有界滞量泛函微分方程不稳定及渐近稳定的几个判据[J].数学杂志,1989,9(3):247-252. 被引量:1
  • 2T. A. Burton,Shunian Zhang. Unified boundedness, periodicity, and stability in ordinary and functional differential equations[J] 1986,Annali di Matematica Pura ed Applicata(1):129~158
  • 3Rodney D. Driver. Existence and stability of solutions of a delay-differential system[J] 1962,Archive for Rational Mechanics and Analysis(1):401~426

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