Browsing Наукові праці by Title

The Cauchy problem and distribution of local fluctuations of one Riesz gravitational field

Litovchenko, Vladyslav (2022)

In the class of discontinuous unbounded initial functions with an integrable singularity, we consider the Cauchy problem for the pseudodifferential equation of local action of moving objects in the corresponding Riesz ...

The Cauchy Problem for Parabolic Equations with Degeneration

Yashan, Bohdan; Pukalsky, Ivan (Advances in Mathematical Physics, 2020)

For a second-order parabolic equation, the multipoint in time Cauchy problem is considered. The coefficients of the equation and the boundary condition have power singularities of arbitrary order in time and space variables ...

The lateral order on Riesz spaces and orthogonally additive operators

Mykhaylyuk, Volodymyr; PLiev, Marat; Popov, Mikhail (Springer, 2021)

The paper contains a systematic study of the lateral partial order ⊑ in a Riesz space (the relation x⊑y means that x is a fragment of y) with applications to nonlinear analysis of Riesz spaces. We introduce and study lateral ...

The Multifrequency Systems with Linearly Transformed Arguments and Multipoint and Local-Integral Conditions

Bihun, Yaroslav; Petryshyn, Roman; Skutar, Ihor (Tiraspol State University, Respublica Moldova, 2022-08-24)

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 ...

Using github classroom for student education.

Melnyk, Vasyl (Математика та iнформацiйнi технологiї, 28–30 вересня 2023 р. : Матерiали мiжнародної наукової конференцiї, присвяченої 55-рiччю факультету математики та iнформатики, Чернівці, 2023-09-28)

Volumetric potential of the Cauchy problem for parabolic equations with negative genus and variable coefficients

Litovchenko, Vladyslav (ЧНУ, 2023)

Досліджено властивості об’ємниого потенцiалу задачi Кошi для параболiчних рiвнянь з вiд’ємним родом i змiнними коефiцiєнтами

Yasynskyy V.K., Yurchenko I.V. Mean-Square Stability and Instability Criteria for the Gikhman–Ito Stochastic Diffusion Functional Differential Systems Subject to External Disturbances of the Type of Random Variables // Cybernetics and Systems Analysis.– 2023.– Vol.59, N2.– P.283–295.

Yurchenko, Igor Valeryjovych; Yasynskyy, Volodymyr Kyryllovych (Springer Nature, 2023-03)

Mean-Square Stability and Instability Criteria for the Gikhman–Ito Stochastic Diffusion Functional Differential Systems Subject to External Disturbances of the Type of Random Variables.

Yasynskyy V.K., Yurchenko I.V. On the existence of optimal control for stochastic functional differential equations under the influence of external disturbances // Cybernetics and System Analysis.– 2024.– Vol.60, №3.– P.462-471.

Yurchenko, Igor Valeryjovych (Springer Nature, 2024-05)

The authors discuss the comparison theorem for solutions of stochastic functional differential equations subject to external disturbances and its application to a stochastic control problem.

Yasynskyy, V.K., Yurchenko, I.V. Existence of the Solution to the Cauchy Problem for Nonlinear Stochastic Partial Differential-Difference Equations of Neutral Type // Cybernetics and Systems Analysis.– 2021.– Vol.57.– No.5.– P.764–774.

Yasynskyy, Volodymyr Kyryllovych; Yurchenko, Igor Valeryjovych (Springer Science+Business Media, LLC, 2021)

The authors consider the existence of the solution to the Cauchy problem in the class of nonlinear stochastic partial differential-difference equations of neutral type, with regard for random external perturbations independent ...

Yurchenko I.V. Existence of l-moment of the Strong Solution of Stochastic Integral Differential Ito-Volterra Equation // The International Scientific Periodical Journal "SWorldJournal".– 2021.– Issue №8, Part 2.– Published by: SWorld & D.A. Tsenov, Academy of Economics, Svishtov, Bulgaria.– P.27-34.

Yurchenko, Igor Valeryjovych (Published by: SWorld & D.A. Tsenov, Academy of Economics, Svishtov, Bulgaria., 2021)

In this article the existence of l-moment of the strong solution of stochastic integral differential Ito-Volterra equation is proved in the case of Wiener disturbances and Poisson switchings.

Yurchenko I.V. Feature Detection Methods in Image Recognition Problems on Python // International Scientific Conference “Modern Systems of Science and Education in the USA, EU and Postsoviet Countries ‘2021”. Conference Proceedings (February, 2021).– «ISE&E» & SWorld in conjunction with KindleDP Seattle, Washington, USA.– P.25-28.

Yurchenko, Igor Valeryjovych («ISE&E» & SWorld in conjunction with KindleDP Seattle, Washington, USA., 2021-02)

It is described an implementation of the “Histogram of Oriented Gradients” (HOG) feature detecting algorithm; the construction of classifiers for machine learning problems is considered and Python language tools (Scikit-Learn ...

Yurchenko I.V. The existence of the solution of the Cauсhi problem for nonlinear stochastic partial differential-difference equations of neutral type with random external perturbances // Scientific World Journal.– 2022.– Issue №13, Part 1.– P.54–64.– Published by Academy of Economics named after D.A. Tsenov, Bulgaria (jointly with SWorld).

Yurchenko, Igor Valeryjovych (Published by Academy of Economics named after D.A. Tsenov, Bulgaria (jointly with SWorld), 2022-05)

The question of the existence of a solution of the Cauchy problem in the class of nonlinear stochastic differential-difference equations of neutral type in partial derivatives with respect to ...

Yurchenko I.V., Yasynskyy V.K. Stochastic (B,S)-Market under the Action of External Disturbances of the Random Value Type // Modern Scientific Researches.– 2020.– Iss. 13, Part 2.– P. 32–39.

Yurchenko, Igor Valeryjovych; Yasynskyy, Volodymyr Kyryllovych (Published by:Yolnat PE, Minsk, Belarus., 2020)

Stochastic linear models of the value of bonds and shares in the form of linear diffusion stochastic Gikhman-Ito differential equations are investigated. Algorithms for implementing ...

Yurchenko I.V., Yasynskyy V.K. The existence of Lyapunov-Krasovskii functionals for stochastic differential-functional Ito-Skorokhod equations under the condition of the solutions stability on probability with finite aftereffect // Cybernetics and Systems Analysis.– 2018.– Vol.54, Iss.6.– P.957-970.

Yasynskyy, Volodymyr Kyryllovych; Yurchenko, Igor Valeryjovych (Springer Science+Business Media, LLC, 2018)

In the paper, it is established that Lyapunov–Krasovskii functionals with definite properties exist for dynamic systems of random structure with finite prehistory and with the property of one or another probability stability.