Self-adjoint higher order differential operators with eigenvalue parameter dependent boundary conditions

DOI10.1186/s13661-015-0341-5zbMath1344.47031OpenAlexW2112124177WikidataQ59431820 ScholiaQ59431820MaRDI QIDQ284684

Manfred Möller, Bertin Zinsou

Publication date: 18 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0341-5

zbMATH Keywords

self-adjoint boundary conditionseigenvalue dependent boundary conditionshigher order differential operatorquasi-derivative

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Ordinary differential operators (34L99)

Related Items (6)

Stability of a flexible missile and asymptotics of the eigenvalues of fourth order boundary value problems ⋮ Asymptotics of the eigenvalues of a fourth order differential operator with eigenvalue dependent and periodic boundary conditions ⋮ Asymptotics of the eigenvalues of self-adjoint fourth order boundary value problems ⋮ Fourth-order Birkhoff regular problems with eigenvalue parameter dependent boundary conditions ⋮ Self-adjoint fourth order differential operators with eigenvalue parameter dependent and periodic boundary conditions ⋮ NEW CANONICAL FORMS OF SELF-ADJOINT BOUNDARY CONDITIONS FOR REGULAR DIFFERENTIAL OPERATORS OF ORDER FOUR

Cites Work

• Spectral properties of a fourth order differential equation
• Characterization of domains of self-adjoint ordinary differential operators
• Formally self-adjoint quasidifferential operators
• Semi-boundedness of ordinary differential operators
• Symmetric differential operators and their Friedrichs extensions
• The inverse generalized Regge problem
• Self-adjoint fourth order differential operators with eigenvalue parameter dependent boundary conditions
• Equivalence, adjoints and symmetry of quasi-differential expressions with matrix-valued coefficients and polynomials in them
• Sixth order differential operators with eigenvalue dependent boundary conditions
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