一类非线性滞后型微分方程解的收敛性

  • 廉海荣
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  • 河北大学,数学与计算机学院,河北,保定,071002

网络出版日期: 2003-10-25

On Convergence of the Solutions of Nonlinear Delay Differential Equations

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Online 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.

本文引用格式

廉海荣 . 一类非线性滞后型微分方程解的收敛性[J]. 河北大学学报(自然科学版), 2003 , 23(4) : 357 -361 . DOI: 10.3969/j.issn.1000-1565.2003.04.004

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.

参考文献

[1] Cooke K L, WIENER J. Neutral differential equation with piecewise constant argument [J]. Bollettino della Unione Mathematica Italiana 1987.
[2] Cooke K L, WIENER J. Retarded differential equations with piecewise constant delay [J]. Mathematics Analysis and Applications 1984, 88.
[3] Aftabizadeh A R, WIENER J. Oscillatory and periodic solutions for two first order linear differential equations with piece wise constant arguments [J]. Applicable Analysis 1988, 26.
[4] Gyori I. On appoximation of the solution of delay diffential equations by using piecewise constant argument [J]. International Journal of Mathematics and Mathematical Sciences 1991, 14(01).
[5] Bellman R, COOKE K L. Differential-difference equations [M]. New York:Academic Press 1963.
[6] Hale J. Theory of Functional Differentional Equations [M]. New York: Springer-Verlag 1977.
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