This article is cited in 2 papers

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

S. V. Kurochkin

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

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.

Key words: linear Hamiltonian system, boundary value problem, eigenvalues, indexing of eigenvalues.

UDC: 519.624

Received: 02.08.2013

DOI: 10.7868/S0044466914030119

 English version: Computational Mathematics and Mathematical Physics, 2014, 54:3, 439–442

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