#### Description

We consider an initial value problem (I. V. P.) of a first order nonlinear ordinary differential equations. We assume that the I. V. P. can have more than one solution. We study a new type of stability property of these solutions. This stability is not the standard Liapunov stability, commonly studied in the field of differential equations.

#### Date of Event

March 31, 2016

#### Location

Mailman-Hollywood Auditorium

#### NSU News Release Link

https://nsunews.nova.edu/math-discussion-to-explore-new-type-of-stability-property-for-initial-value-problem-solution-march-31/

Asymptotic stability of non-unique solutions of Initial Value Problems

Mailman-Hollywood Auditorium

We consider an initial value problem (I. V. P.) of a first order nonlinear ordinary differential equations. We assume that the I. V. P. can have more than one solution. We study a new type of stability property of these solutions. This stability is not the standard Liapunov stability, commonly studied in the field of differential equations.

http://nsuworks.nova.edu/mathematics_colloquium/ay_2015-2016/events/9

## Presenter Bio

Dr. Muhammad Islam received his M.S. in applied mathematics from Carleton University, Ottawa, Canada, and Ph.D. in mathematics from the Southern Illinois University, Carbondale, Illinois. He is a professor of mathematics at the University of Dayton, Dayton, Ohio. Dr. Islam’s primary research is in the field of ordinary and functional differential equations; qualitative analysis.