The classification of self-adjoint boundary conditions of differential operators with two singular endpoints

DOI10.1016/j.jmaa.2011.01.070zbMath1221.34048OpenAlexW2091786179MaRDI QIDQ633651

Jiong Sun, Anton Zettl, Aiping Wang

Publication date: 29 March 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.01.070

zbMATH Keywords

mixed boundary conditionsself-adjoint boundary conditionscoupled boundary conditionsseparated boundary conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (5)

Properties and decompositions of domains for powers of the Jacobi differential operator ⋮ Classification of self-adjoint domains of odd-order differential operators with matrix theory ⋮ Characterization of self-adjoint ordinary differential operators ⋮ Survey article: Self-adjoint ordinary differential operators and their spectrum ⋮ Boundary triples and Weyl \(m\)-functions for powers of the Jacobi differential operator

Cites Work

• The classification of self-adjoint boundary conditions: separated, coupled, and mixed
• Characterization of domains of self-adjoint ordinary differential operators
• Floquet theory for left-definite Sturm-Liouville problems
• Characterization of domains of self-adjoint ordinary differential operators. II
• Complex symplectic geometry with applications to ordinary differential operators

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