An inverse nodal problem for a fourth-order self-adjoint binomial operator

DOI10.1063/5.0173565OpenAlexW4391221982WikidataQ129379280 ScholiaQ129379280MaRDI QIDQ6188564

Unnamed Author, Xin-Jian Xu, Chuan-Fu Yang

Publication date: 7 February 2024

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0173565

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Cites Work

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• Spectral properties of a fourth-order differential operator with integrable coefficients
• Inverse nodal and inverse spectral problems for discontinuous boundary value problems
• Reconstruction of the Dirac operator from nodal data
• Inverse nodal problem for differential pencils
• Inverse spectral theory using nodal points as data - A uniqueness result
• Remarks on a new inverse nodal problem
• The inverse nodal problem on the smoothness of the potential function
• On the well-posedness of the inverse nodal problem
• A solution of the inverse nodal problem
• An inverse nodal problem for two-parameter Sturm–Liouville systems
• The inverse nodal problem and the Ambarzumyan problem for the p-Laplacian
• Analytical Methods for Recovering Coefficients in Differential Equations from Spectral Data
• Solution of inverse nodal problems
• Reconstructing the potential function and its derivatives using nodal data
• On the Inverse Problem of a Fourth-Order Self-Adjoint Binomial Operator
• $L^1$ convergence of the reconstruction formula for the potential function
• Inverse nodal problems for Sturm - Liouville equations with eigenparameter dependent boundary conditions
• On the Nodal Sets of the Eigenfunctions of the String Equation
• An inverse nodal problem for vectorial Sturm-Liouville equations
• Inverse problems and sharp eigenvalue asymptotics for Euler–Bernoulli operators
• Inverse nodal problems for Sturm–Liouville equations on graphs

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