Abstract
The main result of the present paper is the use of Pontryagin’s theorem for proving a criterion, based on the difference in the number of negative eigenvalues between two self-adjoint operators L − and L +, for the linear part of a Hamiltonian system to have eigenvalues with strictly positive real part (unstable eigenvalues).
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Original Russian Text © T. Ya. Azizov, M. V. Chugunova, 2009, published in Matematicheskie Zametki, 2009, Vol. 86, No. 5, pp. 643–658.
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Azizov, T.Y., Chugunova, M.V. Pontryagin’s theorem and spectral stability analysis of solitons. Math Notes 86, 612–624 (2009). https://doi.org/10.1134/S0001434609110029
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DOI: https://doi.org/10.1134/S0001434609110029