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Inverse problems for difference equations with quadratic eigenparameter dependent boundary conditions

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Abstract This paper inductively investigates an inverse problem for difference boundary value problems with boundary conditions that depend quadratically on the eigenparameter. In particular, given the eigenvalues and the weights,… Click to show full abstract

Abstract This paper inductively investigates an inverse problem for difference boundary value problems with boundary conditions that depend quadratically on the eigenparameter. In particular, given the eigenvalues and the weights, we provide an algorithm to uniquely reconstruct the potential.

Keywords: difference equations; difference; equations quadratic; boundary conditions; inverse problems; problems difference

Journal Title: Quaestiones Mathematicae
Year Published: 2017

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