This volume forms a partial record of lectures given in the lOth International
Conference on Differential Equations and Mathematical Physics held on the campus
of the University of Alabama at Birmingham from March 29 to April 2, 2005. As
with previous events in this series, which now dates back nearly a quarter century
to 1981, the tone for the conference was set by our distinguished group of plenary
speakers, and this carried over into the session lectures, which ranged over a wide
variety of subjects loosely connected under the twin umbrellas of mathematical
physics and differential equations. As always the conference was truly international
in character, with attendees travelling to Birmingham from parts of the United
States and 30 foreign countries, including Algeria, Austria, Bangladesh, Brazil,
Canada, Chile, China, the Czech Republic, Egypt, Finland, Germany, India, Israel,
Italy, Japan, Mexico, Muscat, New Zealand, Oman, the Phillipines, Poland, Russia,
Serbia-Montenegro, South Africa, Sweden, Thnisia, Thrkey, Ukraine, the UK, and
An event of this magnitude would not be possible without the assistance of
a number of generous benefactors. On behalf of the participants, the conference
organizers gratefully acknowledge the continuing financial support provided by the
United States National Science Foundation, this time under grant number DMS-
0455211; the UAB Department of Mathematics; and the Alabama Alliance for
Minority Participation. We are also indebted to faculty and students in the UAB
Department of Mathematics for generous gifts of their time and energy spent taking
care of the the participants both during the days and at the various festivities
arranged in the evenings after the formal lectures were over.
Nikolai Chernov
Yulia Karpeshina
Ian Knowles
Roger Lewis
Rudi Weikard
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