An inverse spectral problem for Sturm-Liouville operators with singular potentials on arbitrary compact graphs | Zendy

Sergey Vasiliev | Zendy

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An inverse spectral problem for Sturm-Liouville operators with singular potentials on arbitrary compact graphs

Author(s) -

Sergey Vasiliev

Publication year - 2019

Publication title -

tamkang journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 18

eISSN - 0049-2930

pISSN - 2073-9826

DOI - 10.5556/j.tkjm.50.2019.3356

Subject(s) - mathematics , sturm–liouville theory , uniqueness , constructive , class (philosophy) , singular solution , inverse , differential operator , inverse problem , pure mathematics , spectral theory of ordinary differential equations , mathematical analysis , finite rank operator , quasinormal operator , boundary value problem , geometry , process (computing) , artificial intelligence , computer science , banach space , operating system

Sturm-Liouville differential operators with singular potentials on arbitrary com- pact graphs are studied. The uniqueness of recovering operators from Weyl functions is proved and a constructive procedure for the solution of this class of inverse problems is provided.

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