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Indexing of eigenvalues of boundary value problems for Hamiltonian systems of ordinary differential equations

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Abstract

For a self-adjoint spectral boundary value problem for a linear Hamiltonian system of ordinary differential equations, an indexing of the eigenvalues is found that is invariant under smooth variations in the parameters of the problem.

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

    S. V. Kurochkin

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  1. S. V. Kurochkin
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Correspondence to S. V. Kurochkin.

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Original Russian Text © S.V. Kurochkin, 2014, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 3, pp. 425–429.

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Kurochkin, S.V. Indexing of eigenvalues of boundary value problems for Hamiltonian systems of ordinary differential equations. Comput. Math. and Math. Phys. 54, 439–442 (2014). https://doi.org/10.1134/S0965542514030105

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  • DOI: https://doi.org/10.1134/S0965542514030105

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