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Information × 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 popup.stage_title 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 popup.description1 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 popup.description2 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 popup.authors 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 popup.nrat_date 2026-01-26 Close