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Information × Registration Number 0219U003093, 0116U004525 , R & D reports Title Inverse problems on graphs with various input data. popup.stage_title Head Pivovarchik Vyacheslav Mykolayovych, Registration Date 18-01-2019 Organization South Ukranian State Pedagogical University named after K.D. Ushynskyy popup.description2 Object of investigation: inverse problems generated by infinite-dimensional and finite-dimensional, i.e. differential and difference equations on graph domains. These differential equations describe processes in quantum mechanics while the difference equations appear in description of mechanical vibrations of the so-called Sturm systems and Stieltjes strings. Aim of investigation: development of the theory of inverse problems on finite and infinite graphs, description of the spectral data of problems on graphs, generated by the equations of smooth and Stieltjes strings with point-wise damping. Methods of investigation: the applied method lies in reducing of boundary problems with point-wise damping to spectral problems for quadratic operator pencils. Theoretical and practical results: existence and uniqueness of solution to functional equations which appear in description quantum mechanical three spectra problems in class of sine-type functions. Novelty: All the obtained results are new. The majority of previous results on three spectra problem are 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. Scope of use: further scientific investigations in mathematical physics, special courses for students of mathematics. Product Description popup.authors Бойко О.П. Болдарєва О.М. Пивоварчик В.М. popup.nrat_date 2020-04-02 Close