Count of eigenvalues in the generalized eigenvalue problem

@inproceedings{Chugunova2006CountOE,
  title={Count of eigenvalues in the generalized eigenvalue problem},
  author={Marina Chugunova and Dmitry E Pelinovsky},
  year={2006}
}
We address the count of isolated and embedded eigenvalues in a generalized eigenvalue problem defined by two self-adjoint operators with a positive essential spectrum and a finite number of isolated eigenvalues. The generalized eigenvalue problem determines spectral stability of nonlinear waves in a Hamiltonian dynamical system. The theory is based on the Pontryagin's Invariant Subspace theorem in an indefinite inner product space but it extends beyond the scope of earlier papers of Pontryagin… CONTINUE READING

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