Sampling for the fourth-order Sturm--Liouville differential operator

DOI10.1016/S0022-247X(03)00014-3zbMath1029.34022OpenAlexW1977000283MaRDI QIDQ1874568

Amin Boumenir

Publication date: 25 May 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00014-3

zbMATH Keywords

solutionseigenvaluesfourth-order differential operatorShannon sampling theorem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55)

Related Items (9)

Expansion of eigenvalues of the perturbed discrete bilaplacian ⋮ Eigenvalues and eigenfunctions of fourth-order Sturm-Liouville problems using Bernoulli series with Chebychev collocation points ⋮ On the Hochstadt–Lieberman theorem for the fourth-order binomial operator ⋮ Eigenvalue asymptotics and a trace formula for a fourth-order differential operator ⋮ On the spectral properties of a fourth-order self-adjoint operator ⋮ Matrix methods for computing eigenvalues of Sturm-Liouville problems of order four ⋮ Transmutation Operators and Their Applications ⋮ Spline functions, the biharmonic operator and approximate eigenvalues ⋮ Spectral parameter power series for fourth-order Sturm-Liouville problems

Cites Work

• Paley-Wiener-type theorems for a class of integral transforms
• Analytical Methods for Recovering Coefficients in Differential Equations from Spectral Data
• An Inverse Eigenvalue Problem of Order Four
• An Inverse Eigenvalue Problem of Order Four—An Infinite Case
• Eigenvalues of periodic Sturm-Liouville problems by the Shannon-Whittaker sampling theorem
• Orthogonal Sampling Formulas: A Unified Approach
• Paley-Wiener type theorems by transmutations
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