Dependence of eigenvalues of fourth-order Sturm-Liouville problems on canonical boundary conditions

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

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Eigenvalues of a class of regular fourth-order Sturm-Liouville problems
Canonical forms of self-adjoint boundary conditions for differential operators of order four
Eigenvalues variation. I: Neumann problem for Sturm--Liouville operators
Eigenvalues variation. II: Multidimensional problems
Dependence of eigenvalues of a class of fourth-order Sturm-Liouville problems on the boundary
The classification of self-adjoint boundary conditions: separated, coupled, and mixed
Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
Dependence of eigenvalues of Sturm- Liouville problems with interface conditions
Dependence of eigenvalues of 2\(n\)th order boundary value transmission problems
Floquet theory for left-definite Sturm-Liouville problems
Dependence of eigenvalues on the boundary conditions of Sturm-Liouville problems with one singular endpoint
Eigenvalues of regular Sturm-Liouville problems
Dependence of eigenvalues of Sturm-Liouville problems on the boundary
Dependence of eigenvalues of Sturm-Liouville problems with eigenparameter-dependent boundary conditions and interface conditions
Dependence of eigenvalues of Sturm-Liouville problems with eigenparameter dependent boundary conditions
Eigenvalues of discontinuous third-order boundary value problems with eigenparameter-dependent boundary conditions
Eigenvalues of fourth-order boundary value problems with self-adjoint canonical boundary conditions
Dependence of eigenvalues of \(2m\)th-order spectral problems
Dependence of eigenvalues of fourth-order differential equations with discontinuous boundary conditions on the problem
Matrix methods for computing eigenvalues of Sturm-Liouville problems of order four
Continuous dependence of the \(n\)-th eigenvalue of self-adjoint discrete Sturm-Liouville problems on the problem
Dependence of eigenvalues of discontinuous fourth-order differential operators with eigenparameter dependent boundary conditions
A generalized discontinuous Sturm-Liouville problem with boundary conditions rationally dependent on the eigenparameter
Algorithm 775
Dependence of Eigenvalues on the Problem
Oscillation theory and numerical solution of fourth-order Sturm—Liouville problems
Eigenvalues of regular fourth‐order Sturm–Liouville problems with transmission conditions
Algorithm 810: The SLEIGN2 Sturm-Liouville Code
NEW CANONICAL FORMS OF SELF-ADJOINT BOUNDARY CONDITIONS FOR REGULAR DIFFERENTIAL OPERATORS OF ORDER FOUR
Dependence of eigenvalues for higher odd-order boundary value problems

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