Publication: Eigenvalues of Two Parameter Polynomial Operator Pencils of Waveguide Type
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Springer Science and Business Media LLC
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Abstract
This paper deals with the study of the spectral structure of two parameter unbounded operator pencils of waveguide type. Problems of this type arise in the analysis of some classes of differential operators. There are established several properties on energetic stability and variational principles associated to the real eigenvalues. Connections between the energetic stability and a related perturbation problem are also developed in the present paper.
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variational principles, operator pencil, spectral sets and eigenvalues, Eigenvalue problems for linear operators, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, waveguide, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Variational methods for eigenvalues of operators