Abstract
In this paper we consider a discrete symplectic eigenvalue problem with separated boundary conditions and obtain formulas for the number of eigenvalues on a given interval of the variation of the spectral parameter. In addition, we compare the spectra of two symplectic eigenvalue problems with different separated boundary conditions.
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Original Russian Text © Yu.V. Eliseeva, 2011, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, No. 11, pp. 84–88.
Submitted by A.M. Denisov
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Eliseeva, Y.V. Spectra of discrete symplectic eigenvalue problems with separated boundary conditions. Russ Math. 55, 71–75 (2011). https://doi.org/10.3103/S1066369X11110107
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DOI: https://doi.org/10.3103/S1066369X11110107