Registration Number
0221U000157,
0116U004082
, R & D reports
Title
Constructive and qualitative research methods of functional differential equations and mathematical modeling of economic behavior, natural information processes.
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Head
Bihun Yaroslav Yo, Доктор фізико-математичних наук
Registration Date
02-01-2021
Organization
Yuriy Fedkovych Chernivtsi National University
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Object of research - differential-functional equations with ordinary and partial derivatives, mathematical models in ecology and hydromechanics, parabolic systems, models of conflict-controlled processes, differential equations with fractional derivatives, integro-differential equations, artificial immune systems, neural networks.
For the period from 2016 to 2020, the following main results were obtained: the correctness of the averaging method for multifrequency systems with ordinary and partial derivatives and aftereffects was proved and substantiated; the method of solving functions for differential-difference equations and equations with partial derivatives is developed; the model of dynamics of age structure of biological populations with nonlinear birth rate and the equation of shape of axisymmetric caverns is investigated; information technology for detecting epicenters of forest fires has been developed; constructed global solutions and solutions of boundary value problems for some classes of differential-functional equations; the solvability of initial and boundary value problems for new classes of parabolic systems and evolution equations is investigated; the comparative analysis of algorithm on the basis of models of time series with existing algorithms is carried out and advantages of work of the offered algorithm at consideration of big data are shown; the algorithm of transformation of the database of transactions into a tree-like structure consisting of a tree of popular subject sets and conditional trees is visualized; the possibility of applying the evolutionary game approach to modeling dynamic demand in conditions of oligopolistic competition is investigated.
Product Description
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Bigun Yaroslav Yo
Verezhak Anna P
Husak Olena M.
Danyliuk Ivan M
Knignitska Tetyana V
Krasnokutska Inessa V
Liubarshchuk Evgen A
Matsenko Vasyl H
Melnyk Halyna V
Sergeeva Lidiya M
Skutar Ihor D
Sopronyuk Tetyana M
Filipchuk Mykola P
Chykrij Arkadii O
Shepetyuk Bohdan D
Yuriichuk Anastasiia O
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2021-01-02
