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The inverse problem for differential pencils on a star-shaped graph with mixed spectral data

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The partial inverse problem for differential pencils on a star-shaped graph is studied from mixed spectral data. More precisely, we show that if the potentials on all edges on the… Click to show full abstract

The partial inverse problem for differential pencils on a star-shaped graph is studied from mixed spectral data. More precisely, we show that if the potentials on all edges on the star-shaped graph but one are known a priori then the unknown potential on the remaining edge can be uniquely determined by partial information on the potential and a part of eigenvalues.

Keywords: shaped graph; differential pencils; star shaped; inverse problem; problem differential; pencils star

Journal Title: Science China Mathematics
Year Published: 2020

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