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Information × Registration Number 0219U003095, 0114U000006 , R & D reports Title Finite-dimensional and infinite-dimensional damped systems popup.stage_title Head Pivovarchik Vyacheslav Mykolayovych, Registration Date 21-01-2019 Organization The State Institution "South Ukranian State Pedagogical University named after K. D. Ushynskyy" popup.description2 Object of investigation: Direct and inverse problems, generated by the Sturm-Liouville equation and Stieltjes string equation and Sturm systems with parts of the given data correspond to different boundary conditions. Aim of investigation: The aim was to generalize the classical results on inverse problems for Stieltjes string to the case of a star graph and to the case where the given data partially belong to boundary problems with different boundary conditions. Methods of in vestigation: the applied method lies in reducing of boundary problems to spectral problems for matrix pencils. Theoretical and practical results: the possibility is proved to use the solution of functional equations which appear in description quantum mechanical problems in class of sine-type functions to solve inverse problems. Novelty: All the obtained results are new. The majority of previous results were devoted to the question of uniqueness of solution, not to existence problem. Efficiency of introduction: the project is theoretical, it can be used in the synthesis of electrical circuits and quantum waveguides. Product Description popup.authors Аров Д. З. Бойко О. П. Болдарєва О. М. Волкова М. Г. Драганюк С. В. Коваль Т. В. Ладиненко Л. П. Оліфір О. І. Сапрікін С. М. Синюкова О. М. Третяк О. І. Урум Г. Д. Яковлева О. М. popup.nrat_date 2020-04-02 Close