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Dynamic Equations

Existence Results for Functional Dynamic Equations with Delay

Professor G. Bhaskar Tenali, Ph.D.,
Florida Institute of Technology

ABSTRACT: Time scale, arbitrary nonempty closed subset of the real numbers (with the topology and ordering inherited from the real numbers), is an efficient and general framework to study different types of problems, discover the commonalities, and highlight the essential differences. Sometimes, an appropriate time scale must be chosen to establish parallels to known results.

This talk will present a few recent results from the existence theory of functional dynamic equations, including a few (counter) examples. In particular, the speaker will discuss first-order functional dynamic equations with delay xDelta(t)=f(t,xt) on a time scale. Here, xt is in Crd([-tau,0],Rn) and is given by xt(s)=x(t+s), -tau < s< 0. The talk will consider an appropriate timescale in which delay equations can be studied meaningfully, establish an existence result for problem solutions, and present a few examples.

WHEN & WHERE: Thursday, February 18 from 12:00-1:00 PM in the Mailman-Hollywood Building Auditorium (2nd Floor) on the Main (Davie) Campus .  We do start a few minutes after noon for those who have events that end at noon.

Here are the dates for the Winter 2016 MCS presentations so mark your calendars now!

  • Tuesday, March 15 at noon speaker Jeffrey T. Neugebauer, Ph.D. from Eastern Kentucky University
  • Tuesday, March 29 at noon by Ryan C. Scolnik from Florida State University
  • Thursday, March 31 at noon by Muhammed Islam, Ph.D. from the University of Dayton
  • Tuesday, April 12 at noon by Ming-Liang Cai, Ph.D. from the University of Miami
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