On certain properties of a nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations |
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| Authors: | A A Abramov V I Ul’yanova L F Yukhno |
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| Institution: | (1) Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia;(2) Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia |
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| Abstract: | Properties of the eigenvalues are examined in a nonlinear self-adjoint eigenvalue problem for linear Hamiltonian systems of ordinary differential equations. In particular, it is proved that, under certain assumptions, every eigenvalue is isolated and there exists an eigenvalue with any prescribed index. |
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| Keywords: | Hamiltonian system of ordinary differential equations nonlinear eigenvalue problem eigenvalue |
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