A CHARACTERIZATION OF SELF-ADJOINT OPERATORS DETERMINED BY THE WEAK FORMULATION OF SECOND-ORDER SINGULAR DIFFERENTIAL EXPRESSIONS

DOI10.1017/S0017089509005060zbMath1175.47042OpenAlexW2154939506MaRDI QIDQ3633323

Mohamed A. El-Gebeily, Donal O'Regan

Publication date: 18 June 2009

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089509005060

zbMATH Keywords

selfadjoint operatorsFriedrichs extensionsecond-order differential expressions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Sturm-Liouville theory (34B24) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05)

Related Items (3)

Fourth order canonical forms of singular self-adjoint boundary conditions ⋮ Characterization of self-adjoint ordinary differential operators ⋮ THE BOUNDARY CONDITIONS DESCRIPTION OF TYPE I DOMAINS

Cites Work

• Spectral theory of ordinary differential operators
• Perturbation theory for linear operators.
• The Friedrichs extension of singular differential operators
• The Friedrichs extension of regular ordinary differential operators
• On the Strong and Weak Limit-Point Classification of Second-Order Differential Expressions†
• Real Self-Adjoint Sturm–Liouville Problems
• Existence, upper and lower solutions and quasilinearization for singular differential equations

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