On the regular solution of a second order delay differential equation

	On the regular solution of a second order delay differential equation
	Yuan, R
刊名	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
	2002-05-01
卷号	53 期号:3 页码:407-437
关键词	almost periodic solutions quasi-periodic solutions delay equations piecewise constant argument
ISSN号	0044-2275
英文摘要	In this paper, we study the existence of almost and quasi periodic solutions to a class of second order delay differential equations. As a corollary, it is shown that the equation x"(t) + pi(2)/4 x(t) = bx([t - 1]) + f(t) can possess a 4-periodic solution for a 4-periodic function f(t) when b > pi(2) or b < 0, which is different from the case: b = 0. This phenomena is due to the piecewise constant argument and illustrates a crucial difference between ordinary differential equations and delay equations with piecewise constant argument. The results are extended to nonlinear equations.
语种	英语
出版者	BIRKHAUSER VERLAG AG
WOS记录号	WOS:000176261100002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/17708]
专题	中国科学院数学与系统科学研究院
通讯作者	Yuan, R
作者单位	1.Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China 2.Univ Cologne, D-5000 Cologne 41, Germany 3.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yuan, R. On the regular solution of a second order delay differential equation[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2002,53(3):407-437.
APA	Yuan, R.(2002).On the regular solution of a second order delay differential equation.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,53(3),407-437.
MLA	Yuan, R."On the regular solution of a second order delay differential equation".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 53.3(2002):407-437.