Ebook: Topological Methods in Differential Equations and Inclusions

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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Content:
Front Matter....Pages i-xv
Nonsmooth critical point theory and quasilinear elliptic equations....Pages 1-50
Th?or?mes d’existence de solutions d’inclusions diff?rentielles....Pages 51-87
Second order differential equations on manifolds and forced oscillations....Pages 89-127
Topological approach to differential inclusions....Pages 129-190
Effects of delays on dynamics....Pages 191-237
Existence principles for differential equations and systems of equations....Pages 239-289
Continuation theorems and periodic solutions of ordinary differential equations....Pages 291-375
Some applications of the topological degree to stability theory....Pages 377-409
The center manifold technique and complex dynamics of parabolic equations....Pages 411-446
Positive solutions of semilinear elliptic boundary value problems....Pages 447-500
Cinq cours sur les ?quations diff?rentielles dans les espaces de Banach....Pages 501-520
Back Matter....Pages 521-522

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Content:
Front Matter....Pages i-xv
Nonsmooth critical point theory and quasilinear elliptic equations....Pages 1-50
Th?or?mes d’existence de solutions d’inclusions diff?rentielles....Pages 51-87
Second order differential equations on manifolds and forced oscillations....Pages 89-127
Topological approach to differential inclusions....Pages 129-190
Effects of delays on dynamics....Pages 191-237
Existence principles for differential equations and systems of equations....Pages 239-289
Continuation theorems and periodic solutions of ordinary differential equations....Pages 291-375
Some applications of the topological degree to stability theory....Pages 377-409
The center manifold technique and complex dynamics of parabolic equations....Pages 411-446
Positive solutions of semilinear elliptic boundary value problems....Pages 447-500
Cinq cours sur les ?quations diff?rentielles dans les espaces de Banach....Pages 501-520
Back Matter....Pages 521-522
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