#### Description

This talk presents an application made from an extension of the Leggett-Williams fixed-point theorem—which requires neither of the functional boundaries to be invariant—to a second-order right focal dynamic boundary value problem on a time scale. To conclude, Lyons will provide a non-trivial example.

#### Date of Event

October 31, 2012 12:00-1:00 PM

#### Location

Mailman-Hollywood Building - Room 310

#### NSU News Release Link

http://nsunews.nova.edu/discover-solution-dynamic-boundary-problem-math-colloquium-talk/

Existence of a Positive Solution for a Right-Focal Dynamic Boundary Value Problem

Mailman-Hollywood Building - Room 310

This talk presents an application made from an extension of the Leggett-Williams fixed-point theorem—which requires neither of the functional boundaries to be invariant—to a second-order right focal dynamic boundary value problem on a time scale. To conclude, Lyons will provide a non-trivial example.

https://nsuworks.nova.edu/mathematics_colloquium/ay_2012-2013/events/11

## Presenter Bio

Jeffrey W. Lyons has a B.S., M.S. and Ph.D. from Baylor University. He is an Assistant Professor of Mathematics at Nova Southeastern University His research is in the field of differential equations with interest in fixed point theory, green's functions, and boundary data smoothness.