河北大学学报(自然科学版) ›› 2003, Vol. 23 ›› Issue (4): 357-361.DOI: 10.3969/j.issn.1000-1565.2003.04.004

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一类非线性滞后型微分方程解的收敛性

廉海荣   

  1. 河北大学,数学与计算机学院,河北,保定,071002
  • 出版日期:2003-10-25 发布日期:2003-10-25

On Convergence of the Solutions of Nonlinear Delay Differential Equations

  • Online:2003-10-25 Published:2003-10-25

摘要: 讨论了一类非线性滞后型微分方程,给出了一组带有分段常数自变量的滞后型微分方程以及它们的解的存在惟一性定理,通过推广的Lipschitz条件和Gronwall)-Bellman不定式建立了非线性滞后型微分方程和带有分段常数自变量的滞后型微分方程解之间的一致收敛性.

关键词: 滞后型微分方程, Gronwall-bellman不定式, 分段常自变量

Abstract: A class of nonlinear delay differential equations is considered and some results on convergence ofthe solutions are obtained by using the generalized Lipschitz condition and the well-known Gronwall-Bellman inequality.

Key words: delay differential equation, Gronwall-Bellman inequality, piecewise constant argument

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