Asymptotics of the eigenvalues of a two-term fourth-order operator with boundary conditions dependent on the spectral parameter (Q6120031)

scientific article; zbMATH DE number 7823319

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English	Asymptotics of the eigenvalues of a two-term fourth-order operator with boundary conditions dependent on the spectral parameter	scientific article; zbMATH DE number 7823319

Statements

instance of

scholarly article

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title

Asymptotics of the eigenvalues of a two-term fourth-order operator with boundary conditions dependent on the spectral parameter (English)

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author

Dmitry M. Polyakov

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published in

Boletín de la Sociedad Matemática Mexicana. Third Series

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publication date

25 March 2024

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zbMATH Keywords

fourth-order differential operator

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eigenvalue asymptotics

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trace formula

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spectral parameter in boundary conditions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40590-024-00606-7

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cites work

Basis properties of a fourth order differential operator with spectral parameter in the boundary condition

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Basis properties in \(L_{p}\) of systems of root functions of a spectral problem with spectral parameter in a boundary condition

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Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. I

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Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. II

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Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditions

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Eigenvalue problem associated with the fourth order differential-operator equation

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Third-order operators with three-point conditions associated with Boussinesq's equation

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On a fourth-order problem with spectral and physical parameters in the boundary condition

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On oscillation of eigenfunctions of a fourth-order problem with spectral parameters in the boundary conditions

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Q3508683

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On the basis property of the system of eigenfunctions of a spectral problem with spectral parameter in the boundary condition

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Inverse problem and the trace formula for the Hill operator. II

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Spectral properties of a fourth order differential equation

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

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

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Asymptotics of the eigenvalues of self-adjoint fourth order differential operators with separated eigenvalue parameter dependent boundary conditions

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Q5624013

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Sharp eigenvalue asymptotics of fourth-order differential operators

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Spectral asymptotics and a trace formula for a fourth-order differential operator corresponding to thin film equation

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Q3787532

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Boundary problems for ordinary differential equations with parameter in the boundary conditions

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Boundary eigenvalue problems for differential equations \(N\eta=\lambda P\eta\) with \(\lambda\)-polynomial boundary conditions

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Identifiers

Mathematics Subject Classification ID

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10.1007/S40590-024-00606-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:6120031