Classification of non-symmetric Sturm-Liouville systems and operator realizations

DOI10.1007/s10440-012-9779-yzbMath1278.34023OpenAlexW1979162912MaRDI QIDQ1956221

Bing Xie, Xin-Wei Guo, Jian Gang Qi

Publication date: 13 June 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9779-y

zbMATH Keywords

Hamiltonian systemnon-self-adjointJ-self-adjoint extensionlimit point (circle) caseSturm-Liouville differential system

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20)

Related Items (2)

The bounds of eigenvalue for complex singular boundary value problems ⋮ Estimates on the eigenvalues of complex nonlocal Sturm-Liouville problems

Cites Work

• Sufficient and necessary conditions for the classification of Sturm-Liouville differential equations with complex coefficients
• The theory of J-selfadjoint extensions of J-symmetric operators
• On classification of second-order differential equations with complex coefficients
• Spectral theory of ordinary differential operators
• On J-selfadjoint extensions of J-symmetric ordinary differential operators
• Hamiltonian systems of limit point or limit circle type with both endpoints singular
• On the boundary conditions characterizing J-sefladjoint extensions of J- symmetric operators
• Discrete and continuous boundary problems
• Classification of Sturm–Liouville differential equations with complex coefficients and operator realizations
• On the spectrum of second-order differential operators with complex coefficients
• Titchmarsh–Sims–Weyl Theory for Complex Hamiltonian Systems
• Strong limit-point classification of singular Hamiltonian expressions
• $M(\lambda )$ Theory for Singular Hamiltonian Systems with One Singular Point
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