Registration Number
0226U001397,
(0120U105712)
, R & D reports
Title
Mathematical and computer modeling of dynamic processes described by deterministic and stochastic differential-functional and evolution equations, and their application
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Математичне та комп’ютерне моделювання динамічних процесів, що описуються детермінованими і стохастичними диференціально-функціональними та еволюційними рівняннями, і їх застосування
Head
Cherevko Ihor M., д.ф.-м.н.
Registration Date
26-01-2026
Organization
Yuriy Fedkovych Chernivtsi National University
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Development of new methods to study asymptotic behavior and solution optimization of regularly and singularly perturbed differential-functional equations. Construction and substantiation of algorithms for mathematical and computer modeling of stochastic and deterministic processes
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The method of decomposition of a system of linear singularly perturbed equations with many small parameters into a set of independent subsystems is substantiated.
A new approach to approximate solution of boundary value problems for integro-differential equations with delay is proposed.
The existence, uniqueness, stability and asymptotic properties of strong solutions of a wide class of stochastic differential-functional equations with partial derivatives under the action of various types of random disturbances are investigated.
For an ultraparabolic equation of the second order Kolmogorov type, the properties of the fundamental solution are investigated, and the correctness of the Cauchy problem is analyzed.
Algorithms for studying the stability of systems of linear differential-difference equations with many delays are considered and a scheme for constructing the stability region of equations with many delays is proposed. Methods of mathematical modeling, machine learning, and natural language processing for analyzing economic processes are investigated, and two approaches to modeling the spread of infections are considered.
Product Description
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Melnyk Vasyl Sergijovuch
Dorosh Andrii Bohdanovych
Shkilniuk Dmytro Valeriiovych
Ihor Cherevko
Pertsov Andrij Sergiyovych
Gorbatenko Mykola Yurijovych
Matviy Oleksandr Vasuljovuch
Ivan I. Klevchuk
Pasichnyk Halyna S
Ivasiuk Halyna P
Fratavchan Tonia M
Ilika Svitlana A
Ihor V. Yurchenko
Doroshenko Iryna V
Piddubna Larysa A
Osypova Oleksandra Volodymyrivna
Iryna I. Vizinska
Ihor T. Kosovych
Oleksandr Krasnokutskyi
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2026-01-26
