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Information × Registration Number 0224U000194, 0119U002030 , R & D reports Title Finite- and infinite dimensional theory of operators and operator pencils on graphs popup.stage_title Head Pivovarchik Vyacheslav M., д.ф.-м.н. Registration Date 03-01-2024 Organization The State Institution “South Ukrainian National Pedagogical University named after K. D. Ushynsky” popup.description2  The object of the study was finite-dimensional and infinite-dimensional direct and inverse spectral problems and scattering problems. The purpose of the study was to develop methods for finding the shape of a graph, based on information about the spectrum of the Sturm-Liouville problem on this graph. The research method consisted in finding asymptotic formulas for the eigenvalues of such problems. Similar problems arise in the theory of finite-dimensional spectral problems. It is established how the asymptotics of the eigenvalues of the Sturm-Liouville problem on a graph depend on the conditions at the pendant vertices of the graph. Such an approach is new. Possible applications are the design of quantum waveguides and the synthesis of electrical circuits. It is also possible to use in the preparing of methodological literature for the educational process and in the preparation of special courses for PhD students. Product Description popup.authors Boyko Olha Boldarieva Olha Mykolaivna Drahaniuk Serhiy Dudko Anastasia Kalujniy Dmitro Olifir Olena Saprikin Sergey Mihaylovich Sinukova Elena Урум Галина Дмитриевна Yakovleva Olha popup.nrat_date 2024-01-03 Close