University of Connecticut

PDE and Differential Geometry Seminar


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Title: Recent Advances in Delay-Differential Equations
Speaker: John Mallet-Paret (Brown University)
Time: Monday, April 23, 2018 at 2:30 pm
Place: MONT 214Abstract: In this talk we discuss some aspects of delay-differential equations. The historical roots of thesubject date from the early twentieth century. At that time much of the focus was on linear equationsarising in applications in science and engineering, and themethods were often formal and ad hoc.Beginning in the 1960’s more attention was paid to nonlinearsystems, and a firm theoretical foundationbased on infinite-dimensional dynamical systems was established. What has emerged since then isa body of theory with a rich mathematical structure that draws from numerous areas, includingdynamical systems, functional analysis, and topology, andwhich retains close ties with applications.We shall discuss various recent results and ongoing research in delay equations, and we shall alsomention some open problems in the field.

Organizer: Lihan Wang