Characterization of domains of self-adjoint ordinary differential operators of any order, even or odd

DOI10.14232/EJQTDE.2017.1.61zbMath1424.47116OpenAlexW2750733300WikidataQ114054119 ScholiaQ114054119MaRDI QIDQ4584534

Xiaoling Hao, Jiong Sun, Anton Zettl, Mao-Zhu Zhang

Publication date: 3 September 2018

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2017.1.61

zbMATH Keywords

differential operatorsself-adjoint operatordeficiency index

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) General theory of ordinary differential operators (47E05)

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A class of dissipative differential operators of order three ⋮ Eigenvalues of a class of eigenparameter dependent third-order differential operators ⋮ Classification of self-adjoint domains of odd-order differential operators with matrix theory ⋮ Regular approximation of singular third-order differential operators ⋮ Unnamed Item ⋮ SELF-ADJOINT REALIZATION OF A CLASS OF THIRD-ORDER DIFFERENTIAL OPERATORS WITH AN EIGENPARAMETER CONTAINED IN THE BOUNDARY CONDITIONS ⋮ Regular third-order boundary value problems ⋮ Extensions of a minimal third-order formally symmetric operator ⋮ Canonical forms of self-adjoint boundary conditions for regular differential operators of order three

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