#### Description

On the specific time scale—given as integer multiples of a fixed, positive real number h—and under certain conditions, solutions of a nonlinear second-order dynamic equation with conjugate boundary conditions are differentiated with respect to the boundary values and delta differentiated with respect to the boundary points. Lyons will also present two corollaries of the result.

#### Date of Event

April 10, 2013 12 - 1:00 PM

#### Location

Carl DeSantis Building - Room 1047

#### NSU News Release Link

http://nsunews.nova.edu/solve-boundary-problems-semesters-final-math-colloquium-talk-apr-10/

#### Included in

Disconjugacy and Differentiation for Solutions of Boundary Value Problems for Second-Order Dynamic Equations on a Time Scale

Carl DeSantis Building - Room 1047

On the specific time scale—given as integer multiples of a fixed, positive real number h—and under certain conditions, solutions of a nonlinear second-order dynamic equation with conjugate boundary conditions are differentiated with respect to the boundary values and delta differentiated with respect to the boundary points. Lyons will also present two corollaries of the result.

https://nsuworks.nova.edu/mathematics_colloquium/ay_2012-2013/events/1

## 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.