Spectral properties of a fourth order differential equation

DOI10.4171/ZAA/1293zbMath1110.34011WikidataQ115211778 ScholiaQ115211778MaRDI QIDQ853504

Manfred Möller, Vyacheslav N. Pivovarchik

Publication date: 16 November 2006

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (12)

Self-adjoint higher order differential operators with eigenvalue parameter dependent boundary conditions ⋮ 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 differential operators with eigenvalue parameter dependent boundary conditions ⋮ On the exponential stability of Beck's problem on a star-shaped graph ⋮ 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 ⋮ Asymptotics of the eigenvalues of self-adjoint fourth order boundary value problems ⋮ Small transverse vibrations of visco-elastic rods ⋮ 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Double eigenvalues for the uniform Timoshenko beam
• The inverse generalized Regge problem
• Asymptotic and spectral analysis of non‐selfadjoint operators generated by a filament model with a critical value of a boundary parameter
• On Characteristic Value Problems in High Order Differential Equations Which Arise in Studies on Hydrodynamic and Hydromagnetic Stability

This page was built for publication: Spectral properties of a fourth order differential equation