The symmetry of singular Hamiltonian differenial operators and properties of deficiency indices

DOI10.1007/s10114-005-0535-3zbMath1108.34018OpenAlexW2111046088MaRDI QIDQ2431885

Jian Gang Qi

Publication date: 24 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0535-3

zbMATH Keywords

Hamiltonian systemdeficiency indexsymmetric operatorminimal and maximal operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Weyl theory and its generalizations for ordinary differential equations (34B20) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05)

Related Items (2)

Limit point and limit circle classification for symplectic systems on time scales ⋮ Essential spectra of singular matrix differential operators of mixed order

Cites Work

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• On the deficiency indices and self-adjointness of symmetric Hamiltonian systems
• Discrete and continuous boundary problems
• $M(\lambda )$ Theory for Singular Hamiltonian Systems with Two Singular Points
• A Vector-Matrix Formulation for Formally Symmetric Ordinary Differential Equations with Applications to Solutions of Integrable Square
• On the Titchmarsh‐Weyl Coefficients for Singular S‐Hermitian Systems I
• On the Titchmarsh‐Weyl Coefficients for Singular S‐Hermitian Systems II
• ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM, II
• $M(\lambda )$ Theory for Singular Hamiltonian Systems with One Singular Point
• ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM
• THE NUMBER OF INTEGRABLE-SQUARE SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS

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