A Multiplicity result for a class of strongly indefinite asymptotically linear second order systems

Details A Multiplicity result for a class of strongly indefinite asymptotically linear second order systems A Multiplicity result for a class of strongly indefinite asymptotically linear second order systems

2009-05-31

arxiv.org/abs/0906.0172v1

Mathematics

Classical Analysis and ODEs

19 pages. No figures

Scientific paper

We prove a multiplicity result for a class of strongly indefinite nonlinear
second order asymptotically linear systems with Dirichlet boundary conditions.
The key idea for the proof is to bring together the classical shooting method
and the Maslov index of the linear Hamiltonian systems associated to the
asymptotic limits of the given nonlinearity.

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