Strong limit-point classification of singular Hamiltonian expressions

DOI10.1090/S0002-9939-04-07037-6zbMath1054.34041OpenAlexW1491536479MaRDI QIDQ4461151

Shaozhu Chen, Jian Gang Qi

Publication date: 29 March 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07037-6

zbMATH Keywords

Hamiltonian systemdeficiency indexstrong limit-point case

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (14)

Limit point, strong limit point and Dirichlet conditions for Hamiltonian differential systems ⋮ Strong limit point criteria for a class of singular discrete linear Hamiltonian systems ⋮ Eigenvalues below the lower bound of minimal operators of singular Hamiltonian expressions ⋮ Friedrichs extensions for singular Hamiltonian operators with intermediate deficiency indices ⋮ Classification of non-symmetric Sturm-Liouville systems and operator realizations ⋮ Criteria of the three cases for non-self-adjoint singular Sturm-Liouville difference equations ⋮ Weyl-Titchmarsh theory for Hamiltonian dynamic systems ⋮ Weyl-Titchmarsh theory for time scale symplectic systems on half line ⋮ Classification of non-self-adjoint singular Sturm-Liouville difference equations ⋮ Sufficient and necessary conditions for the classification of Sturm-Liouville differential equations with complex coefficients ⋮ On classification of second-order differential equations with complex coefficients ⋮ Limit-point criteria for semi-degenerate singular Hamiltonian differential systems with perturbation terms ⋮ LIMIT POINT, STRONG LIMIT POINT AND DIRICHLET CONDITIONS FOR DISCRETE HAMILTONIAN SYSTEMS ⋮ Criteria for the absolutely continuous spectral components of matrix-valued Jacobi operators

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