Registration Number
0220U103704,
0116U001673
, R & D reports
Title
Multipoint problem for pseudo differential equations. Groups, rings - research structure. Mathematical Education in Bukovina 1940 - 1990 years.
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Head
Gorodetskiy Vasyl V, Доктор фізико-математичних наук
Registration Date
10-11-2020
Organization
Yuriy Fedkovych Chernivtsi National University
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Main results:
The theory of nonlocal multi-point problem for evolutionary pseudo-differential equations with analytical symbols , evolutionary equations with a harmonic oscillator, evolutionary equations with pseudo-differential operators which are built on variable symbols and evolutionary equations with pseudo-differential operators in the spaces of periodical functions are developed.
Examples of minimal (up to the number of elements) systems of generators are described for normal subgroups of hyperoctaedral groups. The algorithm of construction of the systems of generators for wreath product of two alternating goups is given, and the specific systems of generators, which consists of only two elements, are described.
The properties of associative algebra R, which are close to the sums of their nilpotent subalgebras, in particular those that are two nilpotent subalgebras A and B are so that their sum A+B (as vector subspaces) has a finite codimension in algebra R.
The results about properties of groups and theoretic-groups of structure for triangular and unitreangular automorphisms of the polynomium rings from two variables above the fields. Groups of three-corner automorphisms are investigated for zero-characteristic fields, and groups of untricut automorphisms are used for fields of both zero characteristics and characteristics, including finite fields.
The peculiarities of development of general mathematical training in educational institutions of Chernivtsi region and mathematical education and science in Chernivtsi University during the stay of the region in the Ukrainian SSR (1940-1941, 1944-1991) were revealed.
Product Description
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Bodnaruk Svitlana B
Gorodetskiy Vasyl V
Dovgey Zhanna I
Jitariuk Ivan V
Kolisnyk Ruslana S
Luchko Viktoriya S
Martynyuk Olga V
Myronyk Vadym I
Sikora Vira S
Shevchuk Nataliya M
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2020-11-10