Registration Number
0226U000412,
(0120U105711)
, R & D reports
Title
Evolutionary equations in countable normalized spaces. Groups and rings ‒‒ research, structure. Mathematics of Bukovina during Ukraine’s independence
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Еволюційні рівняння в зліченно нормованих просторах. Групи, кільця – дослідження, будова. Математика Буковини за часів незалежності України.
Head
Kolisnyk Ruslana , Кандидат фізико-математичних наук
Registration Date
09-01-2026
Organization
Yuriy Fedkovych Chernivtsi National University
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Development of the theory of correct solvability of multipoint problems for differential-operator equations, in particular, for evolutionary pseudo-differential equations.
Build different types of generator systems in the wreath products of symmetric groups of finite and infinite ranks; their subgroups and properties. Describe the combinatoric applications of metaalternating groups of the infinite rank. Examine the properties of associative algebras with two large nilepotent subalgebras. Describe the structure of the central rows of Jonqier's two-dimensional group of different for zero and non-zero characteristics.
To study the development of mathematics education and science in Chernivtsi region during the years of independence, to study the methodological features of teaching mathematics in high school (standard level) for globalization challenges and to develop methodological recommendations (textbooks) for its improvement.
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In the research work:
the theory of nonlocal multipoint time problems (in particular, Cauchy problems) for differential operator equations of the form u^'(t) +φ(A)u(t)=0, t∈(0,T] (or t∈(0,+∞)), where u(t) is a function with values in some locally convex topological space, φ(A) is a function of the operator A, and the following cases are considered:1) A is a differentiation operator in generalized spaces of type S; 2) A is the modulus of the differentiation operator in a certain space of infinitely differentiable functions on R\{0} ;3) A is a pseudodifferential operator in the space of infinitely differentiable periodic functions; 4) A is a nonnegative self-adjoint operator with a discrete spectrum in Hilbert space; 5) А is the operator of generalized differentiation in the space of entire functions of type W;
the properties of individual algebraic constructions (crown products of groups, groups of automata permutations) were constructed and investigated;
issues related to the formation of the system of mathematical education and science in Bukovina during the years of independence of Ukraine were investigated. Іssues related to the renewal of the educational and methodological support of the general education course in mathematics were studied, the range of educational materials, manuals, and tasks for preparing for the External Independent Evaluation (ZNO, NMT) was expanded. A significant part of these developments was created by Bukovina scientists and methodologists. An important component of development was the introduction of information technologies into teaching in higher education institutions and secondary schools, the organization of Olympiad movements, various kinds of mathematical tournaments, in particular the tournament of young mathematicians named after Professor M.Ya. Yadrenko, and the further improvement of the work of the Bukovina Junior Academy of Sciences, which stimulated and stimulates talented youth to scientific activity.
Product Description
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Dovghei Zhanna Illinichna
Zhytariuk Ivan Vasylyovich
Vadym Myronyk
Luchko Viktoriya Sergiivna
Shevchyk Natali
Kolisnyk Ruslana
Sikora Vira Stepanivna
Horodets’kyi Vasyl V
Olha V. Martyniuk
Sergiy Martyniuk
Natalia Pravitska
Svitlana Bodnaruk
Alina Skorolitnia
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2026-01-09
