NEW CANONICAL FORMS OF SELF-ADJOINT BOUNDARY CONDITIONS FOR REGULAR DIFFERENTIAL OPERATORS OF ORDER FOUR

DOI10.11948/20180343zbMath1457.34044OpenAlexW2988623270MaRDI QIDQ5859479

Jiong Sun, Xiaoling Hao, Qinglan Bao, Anton Zettl

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20180343

zbMATH Keywords

boundary conditionscanonical formsdifferential operatorsself-adjoint

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Linear boundary value problems for ordinary differential equations (34B05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

Dependence of eigenvalues of discontinuous fourth-order differential operators with eigenparameter dependent boundary conditions ⋮ SELF-ADJOINT REALIZATION OF A CLASS OF THIRD-ORDER DIFFERENTIAL OPERATORS WITH AN EIGENPARAMETER CONTAINED IN THE BOUNDARY CONDITIONS

Cites Work

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• Survey article: Self-adjoint ordinary differential operators and their spectrum
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• The classification of self-adjoint boundary conditions: separated, coupled, and mixed
• Characterization of domains of self-adjoint ordinary differential operators
• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• Eigenvalues of regular Sturm-Liouville problems
• Regular third-order boundary value problems
• Geometric aspects of Sturm-Liouville problems. III. Level surfaces of the \(n\)th eigenvalue
• Differential operator equations with interface conditions in modified direct sum spaces
• Formally self-adjoint quasi-differential operators and boundary value problems
• Algorithm 810: The SLEIGN2 Sturm-Liouville Code

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