MATHEMATICS COLLOQUIUM

 WHEN:
On Thursday, March 30, 2000 at 2.30PM

WHERE:
Durham Science Center, Room 255

WHAT:

Martin Bohner
Mathematics and Statistics Department
University of Missouri-Rolla

will give a talk on

Abstract:
Time scales have been introduced in order to unify continuous and discrete analysis. We will offer a brief introduction into the calculus involved, including the so-called delta derivative of a function on a time scale. This delta derivative is equal to the usual derivative if the time scale consists of all real numbers, and it is equal to the usual forward difference operator if the time scale consists of all integers. However, in general, a time scale may be any closed subset of the reals. We present some basic facts concerning dynamic equations on time scales (those are differential and difference equations, resp., in the above two mentioned cases) and initial value problems involving them. We also will consider higher order dynamic equations, as well as dynamic systems. If time permits, we will give some results concerning linear dynamic Hamiltonian systems.