Thursday, September 21
Mathematics Colloquium
03:35 PM - 04:30 PM
Location: Science Center Room 323
Cost: Free

Speaker: Youssef Raffoul, University of Dayton

Title: Discretization Scheme in Volterra Integro-differential Equations that Preserves Stability and Boundedness

Abstract: A nonstandard discretization scheme is applied to continuous Volterra integro-differential equations. We will show that under our discretization scheme the stability of the zero solution of the continuous dynamical system is preserved. Also, under the same discretization, using a combination of Lyapunov functionals, Laplace transforms and $z-$transforms, we show that the boundedness of solutions of the continuous dynamical system is preserved.

Refreshments are available at 3:00 PM in SC 313F.

The department colloquia are held every Thursday (excluding holidays) at 3:35 pm in room SC 323 unless otherwise noted. All are invited to attend. 

Contact Information:
Name: Paul Eloe