From ODE to DDE

doi:10.1007/s11464-009-0034-4

Front Math Chin

2009, Vol. 4

Issue (3) : 585-598 https://doi.org/10.1007/s11464-009-0034-4

RESEARCH ARTICLE

From ODE to DDE

Meirong ZHANG(

)

Department of Mathematical Sciences and Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China

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Abstract

In this paper, by considering ordinary differential equation (ODE) as a special case and a starting point of delay differential equation (DDE), we will show that some typical topological methods such as continuation theorems can be applied to detect some dynamics of DDE like periodic solutions. Several problems will be presented.

Keywords Ordinary differential equation (ODE) delay differential equation (DDE) periodic solution continuation theorem Sobolev constant non-degeneracy

Corresponding Author(s): ZHANG Meirong,Email:mzhang@math.tsinghua.edu.cn

Issue Date: 05 September 2009

Cite this article:

Meirong ZHANG. From ODE to DDE[J]. Front Math Chin, 2009, 4(3): 585-598.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-009-0034-4
https://academic.hep.com.cn/fmc/EN/Y2009/V4/I3/585

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