An inverse spectral problem for differential operators with integral delay | Zendy

Yulia Vladimirovna Kuryshova | Zendy

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An inverse spectral problem for differential operators with integral delay

Author(s) -

Yulia Vladimirovna Kuryshova

Publication year - 2011

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.42.2011.743

Subject(s) - mathematics , convolution (computer science) , differential operator , interval (graph theory) , operator (biology) , inverse , fourier integral operator , uniqueness , spectral theorem , order (exchange) , operator theory , microlocal analysis , pure mathematics , mathematical analysis , combinatorics , biochemistry , chemistry , geometry , finance , repressor , machine learning , artificial neural network , computer science , transcription factor , economics , gene

The uniqueness theorem is proved for the solution of the inverse spec- tral problem for second-order integro-di®erential operators on a ¯nite interval. These operators are perturbations of the Sturm-Liouville operator with convolution and one- dimensional operators. The main tool is an integral transform connected with solutions of integro-di®erential operators

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