Finite spectrum of fourth-order boundary value problems with boundary and transmission conditions dependent on the spectral parameter
Abstract: A kind of fourth-order boundary value problem with eigenparameter-dependent boundary and transmission conditions is investigated. By constructing the characteristic function, we prove that the problems consist of a finite number of eigenvalues. We obtain that the number of eigenvalues of the problems not only depend on the order of the equation but also depend on the partition of the domain interval, the boundary conditions, and the eigenparameter-dependent transmission conditions.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Finite spectrum of fourth-order boundary value problems with boundary and transmission conditions dependent on the spectral parameter ; volume:21 ; number:1 ; year:2023 ; extent:12
Open mathematics ; 21, Heft 1 (2023) (gesamt 12)
- Creator
-
Zhang, Na
Ao, Ji-jun
- DOI
-
10.1515/math-2023-0110
- URN
-
urn:nbn:de:101:1-2023090814245518060706
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
14.08.2025, 10:51 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Zhang, Na
- Ao, Ji-jun
Other Objects (12)
Wentzell boundary conditions for elliptic fourth-order operators
Some problems of spectral theory of fourth-order differential operators with regular boundary conditions
Inverse spectral problem of a class of fourth-order eigenparameter-dependent boundary value problems
Existence of solutions for fourth-order nonlinear boundary value problems
On a viscous fourth-order parabolic equation with boundary degeneracy
Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions
S-shaped connected component for the fourth-order boundary value problem
Properties of solutions of fourth-order differential equations with boundary conditions
Multiple solutions of fourth-order difference equations with different boundary conditions
Elliptic fourth-order operators with Wentzell boundary conditions on Lipschitz domains
Reversed S-shaped connected component for a fourth-order boundary value problem
A highly efficient spectral-Galerkin method based on tensor product for fourth-order Steklov equation with boundary eigenvalue
Wentzell boundary conditions for elliptic fourth-order operators
Some problems of spectral theory of fourth-order differential operators with regular boundary conditions
Inverse spectral problem of a class of fourth-order eigenparameter-dependent boundary value problems
Existence of solutions for fourth-order nonlinear boundary value problems
On a viscous fourth-order parabolic equation with boundary degeneracy
Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions
S-shaped connected component for the fourth-order boundary value problem
Properties of solutions of fourth-order differential equations with boundary conditions
Multiple solutions of fourth-order difference equations with different boundary conditions
Elliptic fourth-order operators with Wentzell boundary conditions on Lipschitz domains
Reversed S-shaped connected component for a fourth-order boundary value problem
A highly efficient spectral-Galerkin method based on tensor product for fourth-order Steklov equation with boundary eigenvalue
Wentzell boundary conditions for elliptic fourth-order operators
Some problems of spectral theory of fourth-order differential operators with regular boundary conditions
Inverse spectral problem of a class of fourth-order eigenparameter-dependent boundary value problems
Existence of solutions for fourth-order nonlinear boundary value problems
On a viscous fourth-order parabolic equation with boundary degeneracy
Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions
S-shaped connected component for the fourth-order boundary value problem
Properties of solutions of fourth-order differential equations with boundary conditions
Multiple solutions of fourth-order difference equations with different boundary conditions
Elliptic fourth-order operators with Wentzell boundary conditions on Lipschitz domains
Reversed S-shaped connected component for a fourth-order boundary value problem