From ODE to DDE

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

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