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Information × Registration Number 0214U007623, 0111U010461 , R & D reports Title Investigation of different types of geometric diffeomorphisms popup.stage_title Head Sinukova Elena, Registration Date 18-12-2014 Organization South Ukranian State Pedagogical University named after K.D. Ushynskyy popup.description2 Object of research (study): the different types of geometric diffeomorphisms. Purpose: to investigate geodesic mappings of affine spaces, holomorphically-projective mappings of Kahler spaces and their different possible generalizations; to conduct qualitative investigations of some singular Cauchy problems; to study the technique of using the singular integral equations for solving some mathematical physics problems; to conduct the investigation of finite groups, which second commutant is in its centre. Methods of research: theoretical: study the previous results by the theme and the methods of their obtaining by home and foreign specialists; logical-system comparative analysis, classification, analogy, induction, deduction, computer modeling. Theoretical and practical results: The series of the type of uniquely definiteness on the whole theorems about holomorphically-progective mappings of Kahler spaces, those satisfy some conditions of differential-algebraic character, have been obtained. As a result of investigations of k-geodesic mappings of affine spaces some objects, those are invariant about such mappings, have been built. With the use of methods of the qualitative theory of differential equations and functional analysis the questions of existence, quantity and asymptotic behavior near the starting point of some as both singular and regular Cauchy problems for differential equations, those are not solved by the derivative of an unknown function, have been investigated. An extreme problem for some heat equation, that belongs to the class of boundary problems for linear mathematical physics equations with the extreme condition, have been investigated. Some investigations of finite groups, which second commutant is in its centre, have been conducted. Novelty: All results, those have been obtained, are the new actuality. The results of its approval testify the fact: the reports on international conferences, the published articles Product Description popup.authors Драганюк С. В. Зернов О. Є. Ладиненеко Л. П. Яковлева О.М. popup.nrat_date 2020-04-02 Close