Determination of an Impulsive Diffusion Operator From Interior Spectral Data

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Abstract

In the present work, the interior spectral data is used to investigate the inverse problem for a diffusion operator with an impulse on the half line. We show that the potential functions q0(x) and q1 (x) can be uniquely established by taking a set of values of the eigenfunctions at some internal point and one spectrum. © 2020 Walter de Gruyter GmbH, Berlin/Boston 2020.

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Keywords

Differential Pencils, Impulsive Operators, Interior Spectral Data, Inverse Problems, interior spectral data, differential pencils, inverse problems, Inverse problems involving ordinary differential equations, Discontinuous ordinary differential equations, General spectral theory of ordinary differential operators, impulsive operators

Fields of Science

0101 mathematics, 01 natural sciences

Citation

Khalili, Y.; Baleanu, D., "Determination of An Impulsive Diffusion Operator From Interior Spectral Data", Analysis (Germany), Vol. 40, No. 1, pp. 39-45, (2020).

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40

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1

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39

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45
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