Spectral asymptotics of self-adjoint fourth order boundary value problems with eigenvalue parameter dependent boundary conditions

DOI10.1186/1687-2770-2012-106zbMath1281.34130OpenAlexW2056725794WikidataQ59273109 ScholiaQ59273109MaRDI QIDQ384467

Manfred Möller, Bertin Zinsou

Publication date: 27 November 2013

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-106

zbMATH Keywords

boundary conditionseigenvalue distributionspectral asymptoticsself-adjointfourth-order boundary value problemspure imaginary eigenvalues

Mathematics Subject Classification ID

Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Parameter dependent boundary value problems for ordinary differential equations (34B08) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (5)

Asymptotics of the eigenvalues of a self-adjoint fourth-order boundary value problem with four eigenvalue parameter dependent boundary conditions ⋮ 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 ⋮ 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

Cites Work

• Spectral asymptotics of self-adjoint fourth order differential operators with eigenvalue parameter dependent boundary conditions
• The classification of self-adjoint boundary conditions: separated, coupled, and mixed
• Characterization of domains of self-adjoint 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
• Pencils of differential operators containing the eigenvalue parameter in the boundary conditions
• Spectral analysis of fourth order differential operators I
• Spectral analysis of fourth order differential operators II

This page was built for publication: Spectral asymptotics of self-adjoint fourth order boundary value problems with eigenvalue parameter dependent boundary conditions