Fourth order canonical forms of singular self-adjoint boundary conditions

DOI10.1016/j.laa.2012.03.022zbMath1254.34041OpenAlexW2007504637MaRDI QIDQ426083

Xiaoling Hao, Anton Zettl, Jiong Sun

Publication date: 11 June 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.03.022

zbMATH Keywords

boundary conditionscanonical formsdifferential operatorsmixedcoupledseparated

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) Linear symmetric and selfadjoint operators (unbounded) (47B25) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (3)

Dependence of eigenvalues of fourth-order differential equations with discontinuous boundary conditions on the problem ⋮ Matrix representations of fourth order boundary value problems with finite spectrum ⋮ Survey article: Self-adjoint ordinary differential operators and their spectrum

Cites Work

• Real-parameter square-integrable solutions and the spectrum of differential operators
• Characterization of self-adjoint ordinary differential operators
• Canonical forms of self-adjoint boundary conditions for differential operators of order four
• 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
• Characterization of left-definiteness of Sturm-Liouville problems
• Self‐adjoint extensions for singular linear Hamiltonian systems
• A CHARACTERIZATION OF SELF-ADJOINT OPERATORS DETERMINED BY THE WEAK FORMULATION OF SECOND-ORDER SINGULAR DIFFERENTIAL EXPRESSIONS
• Complex symplectic geometry with applications to ordinary differential operators
• Algorithm 810: The SLEIGN2 Sturm-Liouville Code

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