Analyticity in Delay-Differential Equations
Speaker:
John Mallet-Paret, Brown University
Date and Time:
Monday, August 14, 2023 - 9:00am to 9:50am
Location:
Fields Institute, Room 230
Abstract:
We study classes of delay-differential equations for which the nonlinearities in the equations are analytic functions. One might expect (as with ordinary differential equations) that many solutions, particularly those on the attractor, are analytic functions of time. This is often, but not always, true. We discuss various theorems and examples which illustrate such phenomena.