Renormalized Oscillation Theory for Singular Linear Hamiltonian Systems
Abstract
Working with a general class of linear Hamiltonian systems with at least one singular boundary condition, we show that renormalized oscillation results can be obtained in a natural way through consideration of the Maslov index associated with appropriately chosen paths of Lagrangian subspaces of C2n. This extends previous work by the authors for regular linear Hamiltonian systems.
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