Inverse problem for singular diffusion operator

Abdullah Ergün

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arXiv · 2006.13680

Inverse problem for singular diffusion operator

Abdullah Ergün

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Abstract

In this study, singular diffusion operator with jump conditions is considered. Integral representations have been derived for solutions that satisfy boundary conditions and jump conditions. Some properties of eigenvalues and eigenfunctions are investigated. Asymtotic representation of eigenvalues and eigenfunction have been obtained. Reconstruction of the singular diffusion operator have been shown by the Weyl function.

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Abdullah Ergün. 2020-06-08. Inverse problem for singular diffusion operator. https://arxiv.org/abs/2006.13680

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