Browsing Наукові праці by Title
Now showing items 59-78 of 384
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MATHEMATICAL MODELS OF EXTREME MODES IN ECOLOGICAL SYSTEMS
(2022)The authors consider the basic stages of creating a computer system for decisionmaking support in ecological security. The key factors of environmental pollution caused by ecological and technological catastrophes and ... -
Methodological features of the use of intersctive methods in conducting lessons and assessing students’ knowledge of mathematics in high school. IV Міжнародна науково-практична Інтернет-конференція «Математика та інформатика в науці й освіті: виклики сучасності», присвячена 90-річчю кафедри математики та інформатики (Вінниця, 25-26 травня 2023 року): збірник тез [Електронний ресурс]. Вінниця: ВНТУ, 2023. С. 244-246. (Науковий керівник – Боднарук С.Б.)
(IV Міжнародна науково-практична Інтернет-конференція «Математика та інформатика в науці й освіті: виклики сучасності», присвячена 90-річчю кафедри математики та інформатики (Вінниця, 25-26 травня 2023 року): збірник тез [Електронний ресурс]. Вінниця: ВНТУ, 2023. С. 244-246., 2023-06)Methodological features of the use of interactive methods in mathematics lessons in the high school of the Academy of Sciences were considered. The possibility of evaluating students' knowledge of mathematics using interactive ... -
Metrizability of partial metric spaces
(Topology and its Applications, 2022-03-01)We analyze relationship between partial metric spaces and several generalized metric spaces. -
Metrizability of partial metric spaces
(Elsevier, 2022) -
Modeling of different scenarios for the spreadof COVID-19 by using the cellular automata
(IEEE, 2022-09-26)n this research, we used the method of mobile cellular automata to study the dynamics of COVID-19. A number of simulation scenarios that take into account different quarantine restrictions are considered and compared. The ... -
Multifrequency system with multipoint and integral conditions
(Acta et Commentationes Exact and Natural Sciences, Tiraspol State University, Respublica Moldova, 2021-01-10)For the multifrequency system of equations with linear delays and multipoint and integral conditions, the existence and uniqueness of the solution in space is proved. The method of averaging over fast variables is substantiated ... -
Multipoint (in time) problem for singular parabolic equations in spaces of type S
(2023)We establish conditions under which the Bessel operator of "infinite order" is defined and continuous in certain spaces of type S. The correct solvability of the nonlocal multipoint (in time) problem is proved for evolutionary ... -
Multipoint Boundary-Value Problem of Optimal Control for Parabolic Equations with Degeneration
(Journal of Mathematical Sciences, 2023)We study the problem of optimal control over the process described by a multipoint problem with oblique derivative for a second-order parabolic equation and consider the cases of internal, starting, and boundary control. ... -
NONLOCAL (IN TIME) PROBLEM FOR THE EVOLUTIONARY EQUATION WITH FRACTIONAL DIFFERENTIAL OPERATOR
(2023)We establish the correct solvability of a multipoint nonlocal (in time) problem for the evolutionary equation with operator of fractional differentiation and an initial function, which is an element of the space of generalized ... -
Nonlocal multi-point in time Cauchy problem for parabolic equations with degeneration
(Science and Education a New Dimension. Natural and Technical Sciences, 2020)A multi-point in time problem for a parabolic equation with power singularities of arbitrary order in coefficients for time and spatial variables is considered. The existence and uniqueness of the solutions of the problem ... -
NONLOCAL MULTIPOINT (IN TIME) PROBLEM WITH OBLIQUE DERIVATIVE FOR A PARABOLIC EQUATION WITH DEGENERATION
(Journal of Mathematical Sciences, 2020)For a second-order parabolic equation, we consider a multipoint (in time) problem with oblique derivative. The coefficients of the equation and boundary condition have power singularities of any order in time and spatial ... -
On a problem of Talagrand concerning separately continuous functions
(Cembridge University Press, 2021)We construct a separately continuous function e:E×K→{0,1} on the product of a Baire space E and a compact space K such that no restriction of e to any non-meagre Borel set in E×K is continuous. The function e has no points ... -
On the approximation and stability of linear systems with delay
(THE 29th CONFERENCE ON APPLIED AND INDUSTRIAL MATHEMATICS, CAIM 2022 Chisinau, Republic of Moldova, August 25-27, 2022, 2022-08) -
On the approximation and stability of linear systems with delay
(Moldova State University, 2022-08-25)This paper investigates the application of approximation schemes for differential-difference equations [1-3] to construct algorithms for the approximate finding of nonsymptotic roots of quasipolynomials and their application ... -
On the approximation of linear systems with delay and their stability
(The 28th Conference on Applied and Industrial Mathematics 17th(18th September),- Book of Abstract., 2021-09-17)In the present paper, we consider applications of the approximation schemes for differential-difference equations to approximate finding nonasymptotic roots of quasipolynomials and analysis of stability for solutions of ... -
ON THE APPROXIMATION OF SYSTEMS WITH DELAY AND THEIR STABILITY
(Матеріали міжнародної наукової конференції «V міжнародна конференція, присвячена 145 річниці від дня народження Ганса Гана», 2024-09) -
On the fundamental solution of the Cauchy problem for equations with negative genus and dissipative parabolicity
(2022)One class of differential equations with partial derivatives and variable coefficients, which have dissipative parabolicity and negative genus, is considered. For this class, the Green's function of the Cauchy problem was ... -
On the Generalized Cauchy Problem for the Evolutionary Equation with Operator of Fractional Differentiation
(Journal of Mathematical Sciences, 2022)We prove the well-posed solvability of the nonlocal problem multipoint in time for the evolutionary equation with operator of fractional differentiation and initial function, which is an element of the space of generalized ... -
ONE-SIDED BOUNDARY-VALUE PROBLEM WITH IMPULSIVE CONDITIONS FOR PARABOLIC EQUATIONS WITH DEGENERATION
(Journal of Mathematical Sciences, 2021)For a second-order parabolic equation, we consider a one-sided boundary-value problem with impulsive conditions with respect to the time variable. The coefficients of equation and the boundary conditions have power ... -
Optimal control in the boundary value problem for elliptic equations with degeneration
(Matematychni Studii, 2023)The problem of optimal control of the system described by the oblique derivative problem for the elliptic equation of the second order is studied. Cases of internal and boundary management are considered. The quality ...