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

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
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Borg-type theorems for matrix-valued Schrödinger operators
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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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