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.

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.

Presenter Profile Page(s)

https://www.udayton.edu/directory/artssciences/mathematics/islam_muhammad.php

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/

Included in

Mathematics Commons

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Mar 31st, 12:00 PM Mar 31st, 1:00 PM

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