二阶时滞微分方程的Besicovitch概周期解
Besicovitch Almost Periodic Solutions of Second Order Differential Equations with Time Delay
摘要
研究二阶时滞微分方程的Besicovitch概周期解的存在性和唯一性,进而讨论Lipschitz非线性的情况。
In this paper we investigate the existence and uniqueness of a Besicovitch almost periodic solution of the second order differential equation with time delay. A Lipsehitz nonlinear ease is considered.
出处
《中国海洋大学学报(自然科学版)》
CAS
CSCD
北大核心
2006年第4期585-587,共3页
Periodical of Ocean University of China
关键词
Besicovitch概周期解
三角多项式
时滞微分方程
不动点定理
Besicovitch almost periodic solutions
trigonometric polynomials
time delay differential equations
fixed point methods
参考文献11
-
1Alexiades V.Almost periodic solutions of an integro-differential system with infinite delay[J].Nonlinear Anal,1981,5(4):401-410. 被引量:1
-
2Corduneanu C.Almost periodic functions[M].Second Edition.New York:Chelsea Publ Comp,1989. 被引量:1
-
3Hale J.Periodic and almost periodic solutions of functional-differential equations[J].Arch Rational Mech Anal,1964,15(3):289-404. 被引量:1
-
4Yoshizawa T.Extremes stability and almost periodic solutions of functional differential equations[J].Arch Rational Mech Anal,1965,17(2):148-170. 被引量:1
-
5Layton W.Existence of almost periodic solutions to delay differential equations with Lipschitz nonlinearities[J].J Diff Equ,1984,55(2):151-164. 被引量:1
-
6Schulman L S.Some differential-difference equations containing both advance and retardation[J].J Math Phys,1974,15(3):295-298. 被引量:1
-
7郑祖庥.泛函微分方程理论[M].合肥:安徽教育出版社,1996.. 被引量:3
-
8Besicovitch A S.Almost periodic functions[M].Cambridge,England:Cambrage University Press,1932. 被引量:1
-
9Fink A M.Almost periodic differential equations,lecture notes in math.377[M].New York:Springer-Verlag,1974. 被引量:1
-
10Levitan B M,Zhikov V V.Almost periodic differential functions and differential equations[M].Combridge,England:Combridge University Press,1982. 被引量:1
-
1卢俊国,汪小帆,王执铨.连续时间混沌系统控制与同步的状态反馈方法[J].控制与决策,2001,16(4):476-479. 被引量:8
-
2于瑶,徐明跃.Lipschitz非线性系统降阶观测器设计的新方法[J].哈尔滨师范大学自然科学学报,2008,24(3):21-23.
-
3李力,方华京.基于小波神经网络观测器的故障监测[J].控制与决策,2001,16(5):621-623. 被引量:1
-
4于亦凡,常慧.利用滑模观测器实现基于模型的错误诊断[J].青岛大学学报(自然科学版),2002,15(2):62-64.