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Zbl 1016.37026
Lesch, Matthias; Malamud, Mark
On the deficiency indices and self-adjointness of symmetric Hamiltonian systems. (English)
[J] J. Differ. Equations 189, No.2, 556-615 (2003). ISSN 0022-0396

From the authors' abstract: The main purpose of this paper is to investigate the formal deficiency indices $N_\pm$ of a symmetric first-order system $Jf'+Bf =\lambda Hf$ on an interval $I$, where $I=\bbfR$ or $I= \bbfR_\pm$. We obtain two results for such a system to have minimal numbers and a criterion for their maximality. We also obtain a generalization of the well-known Titchmarsh-Sears theorem for second-order Sturm-Liouville-type equations. This contains results due to Lidskij and Krein as special cases.
[Jan Andres (Olomouc)]

MSC 2000:: *37J05 Relations with symplectic geometry and topology
34B24 Sturm-Liouville theory
47E05 Ordinary differential operators

Keywords: Hamiltonian systems; deficiency indices; Sturm-Liouville-type equations

Cited in: Zbl 1097.34064

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