Limit point, strong limit point and Dirichlet conditions for Hamiltonian differential systems

DOI10.1002/mana.200910006zbMath1235.34084OpenAlexW2036977097MaRDI QIDQ3169188

Hongyou Wu, Jian Gang Qi

Publication date: 27 April 2011

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200910006

zbMATH Keywords

Schrödinger operatorFriedrichs extensionDirichlet conditionsingular potentialHamiltonian differential systemslimit point conditionstrong limit point condition

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (6)

Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra ⋮ Essential spectra of one-dimensional Dirac operators ⋮ Friedrichs extensions for singular Hamiltonian operators with intermediate deficiency indices ⋮ Sufficient and necessary conditions for the classification of Sturm-Liouville differential equations with complex coefficients ⋮ Friedrichs extensions of a class of singular Hamiltonian systems ⋮ LIMIT POINT, STRONG LIMIT POINT AND DIRICHLET CONDITIONS FOR DISCRETE HAMILTONIAN SYSTEMS

Cites Work

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• Friedrichs extensions of Schrödinger operators with singular potentials
• On the deficiency indices and self-adjointness of symmetric Hamiltonian systems
• Eigenvalues below the lower bound of minimal operators of singular Hamiltonian expressions
• Discrete and continuous boundary problems
• On the Strong and Weak Limit-Point Classification of Second-Order Differential Expressions†
• On the Strong Limit-n Classification of Linear Ordinary Differential Expressions of Order 2n
• A Note on the Dirichlet Condition for Second-Order Differential Expressions
• NOTE ON THE STRONG LIMIT POINT CONDITION OF SECOND ORDER DIFFERENTIAL EXPRESSIONS
• Strong limit-point classification of singular Hamiltonian expressions
• $M(\lambda )$ Theory for Singular Hamiltonian Systems with One Singular Point
• On the Limit-Point Classification of Second-Order Differential Operators
• On Some Properties of the Domains of Powers of Certain Differential Operators

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