UTA Department of Mathematics

Applied Mathematics Seminar

Date/Time/Room: Friday (4/6/2007) at 2:30pm in 304 Pickard Hall

Speaker: Dr. Alexander V. Prasolov, Professor and Head
Department of Economical Systems Modeling
Faculty of Applied Mathematics - Control Processes, Saint-Petersburg State University

"A Direct Lyapunov Method for Delay Differential Equations"

Abstract: This presentation is devoted to well-known tools of stability theory: Lyapunov functions and functionals. The development of delay equation theory through time based on some results of Russian mathematicians is shown. In particular, there are two different approaches: one could measure a distance between points in finite dimension space or between short curve segments (points in functional space), the second. This material is presented with some definitions, theorems and examples.