Asymptotic behavior of eigenvalues of fourth-order differential operators with spectral parameter in the boundary conditions

Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Spectral asymptotics of self-adjoint fourth order differential operators with eigenvalue parameter dependent boundary conditions
Basis properties in \(L_{p}\) of systems of root functions of a spectral problem with spectral parameter in a boundary condition
Basis properties of a fourth order differential operator with spectral parameter in the boundary condition
Eigenvalues of a linear fourth-order differential operator with squared spectral parameter in a boundary condition
On the basis property of the system of eigenfunctions of a spectral problem with spectral parameter in the boundary condition
Boundary problems for ordinary differential equations with parameter in the boundary conditions
Eigenvalue problem associated with the fourth order differential-operator equation
Asymptotics of the eigenvalues of self-adjoint fourth order differential operators with separated eigenvalue parameter dependent boundary conditions
Properties of natural frequencies and harmonic bending vibrations of a rod at one end of which is concentrated inertial load
Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditions
Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. I
Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. II
Some spectral properties of fourth order differential operator equation
Third-order operators with three-point conditions associated with Boussinesq's equation
Inverse problems and sharp eigenvalue asymptotics for Euler–Bernoulli operators
Boundary eigenvalue problems for differential equations \(N\eta=\lambda P\eta\) with \(\lambda\)-polynomial boundary conditions
Eigenvalue asymptotics and a trace formula for a fourth-order differential operator
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
Spectral asymptotics and a trace formula for a fourth-order differential operator corresponding to thin film equation
Asymptotics of the eigenvalues of a two-term fourth-order operator with boundary conditions dependent on the spectral parameter

This page was built for publication: Asymptotic behavior of eigenvalues of fourth-order differential operators with spectral parameter in the boundary conditions