Browsing Наукові праці by Title
Now showing items 67-86 of 384
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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 ... -
Pseudo Genetic Algorithm of Clustering For Linear and Ellipsoidal Clusters
(2022-10)this article considers the method of clustering in the problems of pattern recognition when studying with a teacher in the case of n-dimensional numerical features. Clusters of linear and ellipsoidal forms that are optimal ... -
Pseudodifferential Equation of Fluctuations of Nonstationary Gravitational Fields
(2021)Developing Holtzmark’s idea, the distribution of nonstationary fluctuations of local interaction of moving objects of the system with gravitational influence, which is characterized by the Riesz potential, is constructed. ... -
Pseudodifferential Local Interaction Equation for Moving Objects
(Pleiades Publishing, 2022)The general stochastic nature of the pseudodifferential superdiffusion equation is established. Developing Holtsmark’s idea, we show that the Green’s function of the Cauchy problem for this equation is the probability ... -
Pозв’язування крайових задач для лінійних диференціально-різницевих рівнянь нейтрального типу методом сплайн-колокацій
(2022-05)У даній роботі для крайової задачі для лінійних диференціально-різницевих рівнянь нейтрального типу розглядається ітераційна схема із застосуванням кубічних сплайнів дефекту два. -
Quasioptimal stabilization of the linear controlled singularly perturbed systems with delay
(V. M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kamianets-Podilskyi Ivan Ohiienko National University, 2024-06-28)We consider a linear singularly perturbed system of difference-differential equations with control. We obtain a representation of an integral manifolds of this system. We search the solution of the problem of quasioptimal ... -
Reduction of boundary value problems to difference and differential-difference equations
(Yuriy Fedkovych Chernivtsi National University, 2003-01)We reduce boundary value problems for hyperbolic systems of differential equations to difference and differential-difference equations. We construct the domain of stability for a linear autonomous differential equation ... -
Schemes of approximation of linear systems with delay and analysis of their stability
(Чернівецький національний університет, 2023-09-28)This paper investigates the application of approximation schemes for differential-difference equations to construct algorithms for the approximate finding of nonsymptotic roots of quasipolynomials and their application ...