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A uniqueness result for differential pencils with discontinuities from interior spectral data

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Abstract In this work, the interior spectral data is employed to study the inverse problem for a differential pencil with a discontinuity on the half line. By using a set… Click to show full abstract

Abstract In this work, the interior spectral data is employed to study the inverse problem for a differential pencil with a discontinuity on the half line. By using a set of values of the eigenfunctions at some internal point and eigenvalues, we obtain the functions q 0 ⁢ ( x ) {q_{0}(x)} and q 1 ⁢ ( x ) {q_{1}(x)} applied in the diffusion operator.

Keywords: spectral data; differential pencils; result differential; interior spectral; uniqueness result

Journal Title: Analysis
Year Published: 2018

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