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Information × Registration Number 0215U008574, 0115U003027 , R & D reports Title Application of Hypercomplex Analysis to the Study Partial Differential Equations and Stochastic Differential Equations popup.stage_title Head Pogoruy Anatoliy Oleksandrovych, Registration Date 29-12-2015 Organization Zhytomyr State University named after Ivan Franko popup.description2 The method of monogenic functions, which was developed in collaboration with the Mexican mathematicians in the paper "Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras " by Pogorui A., Rodriguez-Dagnino R. and Shapiro M. is used to study solutions of differential equations in partial derivatives (PDEs) with constant coefficients. By using this approach, Pogorui A. in collaboration with R. Rodriguez-Dagnino and Kolomiets T. obtained the distribution of the particle position on the line, which moves in Erlang random environment. In addition, an estimate of level-crossing for the Wiener process was obtained. Mikhailenko V. and Mikhailenko S. have developed a new method for constructing periodic solutions of nonlinear differential equations (ordinary and partial) describing stationary polyharmonic oscillations in monoharmonic excitation, which takes into account the non-linearity of polynomial type. Product Description popup.authors Бахтін Олександр Костянтинович Дороговцев Андрій Анатолійович Зелінська Наталія Миколаївна Михайленко Василь Васильович Михайленко Станіслав Васильович Римар О. М. Таргонська Ірина Ігорівна Таргонський Андрій Леонідович popup.nrat_date 2020-04-02 Close