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6th International Conference on Differential Equations and Dynamical Systems
May 22-26, 2008

Baltimore, Maryland, USA

Organizers
Xinzhi Liu, University of Waterloo; Gaston M. N'Guerekata, Morgan State University

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Dirichlet problems for Dirac-type systems
by
Anna Capietto
University of Torino
Coauthors: Walter Dambrosio

We consider the Dirichlet boundary value problem associated to a first order asymptotically linear Dirac-type system in R2n. Using the spectral theory and the oscillation theory for linear Dirac-type systems, we are able to introduce a Maslov-type index; this index is then used for the study of multiplicity of solutions to a nonlinear BVP. To this aim, we use shooting arguments and bifurcation theory.

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Date received: February 6, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caws-06.