The papers collected in this volume are contributions to the 33rd
session of the Seminaire de Mathematiques Superieures (SMS) on
"Topological Methods in Differential Equations and Inclusions."
This session of the SMS took place at the Universite de Montreal in
July 1994 and was a NATO Advanced Study Institute (ASI). The aim of
the ASI was to bring together a considerable group of young
researchers from various parts of the world and to present to them
coherent surveys of some of the most recent advances in this area
of Nonlinear Analysis. During the meeting 89 mathematicians from 20
countries have had the opportunity to get acquainted with various
aspects of the subjects treated in the lectures as well as the
chance to exchange ideas and learn about new problems arising in
the field. The main topics teated in this ASI were the following:
Fixed point theory for single- and multi-valued mappings including
topological degree and its generalizations, and topological
transversality theory; existence and multiplicity results for
ordinary differential equations and inclusions; bifurcation and
stability problems; ordinary differential equations in Banach
spaces; second order differential equations on manifolds; the
topological structure of the solution set of differential
inclusions; effects of delay perturbations on dynamics of retarded
delay differential equations; dynamics of reaction diffusion
equations; non smooth critical point theory and applications to
boundary value problems for quasilinear elliptic equations.
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