Spectra of discrete symplectic eigenvalue problems with separated boundary conditions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2011), pp. 84-88

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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.
Keywords: discrete symplectic eigenvalue problems, relative oscillation theory, comparative index.
@article{IVM_2011_11_a9,
     author = {Yu. V. Eliseeva},
     title = {Spectra of discrete symplectic eigenvalue problems with separated boundary conditions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {84--88},
     publisher = {mathdoc},
     number = {11},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_11_a9/}
}
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Yu. V. Eliseeva. Spectra of discrete symplectic eigenvalue problems with separated boundary conditions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2011), pp. 84-88. http://geodesic.mathdoc.fr/item/IVM_2011_11_a9/