Spectral asymptotics of self-adjoint fourth order differential operators with eigenvalue parameter dependent boundary conditions

DOI10.1007/s11785-011-0162-1zbMath1280.34086OpenAlexW2044241325MaRDI QIDQ371711

Bertin Zinsou, Manfred Möller

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-011-0162-1

zbMATH Keywords

boundary conditionseigenvalue distributionspectral asymptoticsself-adjointfourth-order differential operatorpure 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) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (8)

Asymptotics of the eigenvalues of a self-adjoint fourth-order boundary value problem with four eigenvalue parameter dependent boundary conditions ⋮ Spectral asymptotics of self-adjoint fourth order boundary value problems with eigenvalue parameter dependent boundary conditions ⋮ Stability of a flexible missile and asymptotics of the eigenvalues of fourth order boundary value problems ⋮ The spectral properties of a two-term fourth-order operator with a spectral parameter in the boundary condition ⋮ Asymptotics of the eigenvalues of a two-term fourth-order operator with boundary conditions dependent on the spectral parameter ⋮ 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

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