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一类泛函微分方程解的有界性与最终有界性
引用本文:吴泽刚.一类泛函微分方程解的有界性与最终有界性[J].广西师院学报,2008(2):40-44.
作者姓名:吴泽刚
作者单位:重庆师范大学数学与计算机科学学院,重庆400047
基金项目:重庆师范大学科研项目(06XLB025)
摘    要:利用Lyapunov泛函的方法研究了下列时滞泛函微分方程组{x′(t)=f(t,xt) y′(t)=g(t,yt)给出了方程组解的相对有界性和相对最终有界性的充分条件.

关 键 词:泛函微分方程  有界性  最终有界性

On the Boundedness and Ultimate Boundedness of the Solutions for a Class of Functional Differential Equations
WU Ze-gang.On the Boundedness and Ultimate Boundedness of the Solutions for a Class of Functional Differential Equations[J].Journal of Guangxi Teachers College(Natural Science Edition),2008(2):40-44.
Authors:WU Ze-gang
Affiliation:WU Ze-gang (School of Mathematics and Computer Sciences, Chongqing Normal University, Chongqing 400047, China)
Abstract:The boundedness and ultimate boundedness of the solutions for functional differential equations with delay are studied with Lyapunov functional methods and some new results are obtained.
Keywords:functional differential equation with delay  boundedness  ultimate boundedness
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