On the integral representations of solutions of some matrix pencils of the Sturm-Liouville equation

DOI10.32010/j.bmj.2022.21MaRDI QIDQ6628979

Sh. T. Gurbuz, Suna Saltan, Anar Nabiyev

Publication date: 29 October 2024

Published in: Baku Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

inverse problemintegral equationintegral representationSturm-Liouville equationFourier transformationdirect problemmain integral equation

Mathematics Subject Classification ID

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

Cites Work

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• Recovery of the matrix quadratic differential pencil from the spectral data
• Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval
• Inverse problems for matrix Sturm-Liouville operators
• On the inverse scattering problem for the one-dimensional Schrödinger equation with an energy dependent potential
• Borg-type theorems for matrix-valued Schrödinger operators
• Eigenvalue estimates and trace formulas for the matrix Hill's equation
• An inverse problem for the matrix Schrödinger equation
• An inversion formula in energy dependent scattering
• An inverse problem for differential operator pencils
• A Higher-Order Water-Wave Equation and the Method for Solving It
• Some inverse spectral problems for vectorial Sturm-Liouville equations
• Spectral analysis for the matrix Sturm-Liouville operator on a finite interval
• Inverse spectral problems for Sturm–Liouville operators with matrix-valued potentials
• On a fundamental system of solutions of the matrix Schrödinger equation with a polynomial energy-dependent potential
• The Inverse Problem Associated with a Pair of Second-Order Differential Equations
• Wave scattering in one dimension with absorption
• Large Eigenvalues and Trace Formulas for Matrix Sturm--Liouville Problems
• An inverse problem for the matrix quadratic pencil on a finite interval
• Inverse problems for the matrix Sturm–Liouville equation on a finite interval

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