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.
https://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.