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Information × Registration Number 0223U002642, 0122U000670 , R & D reports Title Innovative methods in the theory of differential equations, computational mathematics and mathematical modeling popup.stage_title Head Boichuk Oleksandr A., Доктор фізико-математичних наукMakarov Volodymyr L., д.ф.-м.н. Registration Date 01-03-2023 Organization Institute of Mathematics of the National Academy of Sciences of Ukraine popup.description2 The report on research work on the topic "Innovative methods in the theory of differential equations, computational mathematics and mathematical modeling" contains 223 pages, 11 chapters. The results of research on the topic were published, in particular, in 1 monograph and 28 articles. Research object: current problems of the theory of differential equations and dynamical systems, mathematical physics and nonlinear analysis, algebra and topology, computational mathematics and approximation theory. The purpose of the work: solving current problems and creating new highly effective methods of the theory of differential equations and dynamic systems, mathematical physics, algebra and topology, computational mathematics and approximation theory, which are naturally connected with the construction and analysis of mathematical models of the latest technologies, in particular, growing protein in bioreactors, describe brain neural processes, population dynamics, climatic phenomena, irreversible chemical and quantum-mechanical processes, laser synchronization, counterparty behavior, social and neural networks, and multi-component mechanical systems (fluids, elastic elements, solids, suspensions, etc.), located in physical fields of various nature. Research methods: qualitative, numerical-analytical, spectral, variational, group and other methods of analysis of solutions of differential and functional-differential equations, methods of bifurcation theory and their application to the theory of coupled oscillators, Lyapunov-Schmidt theory and apparatus of generalized inverse operators, methods of potential theory, etc. The obtained results are of a fundamental nature, meet high international standards and make a significant contribution to the development of the theory of differential equations, mathematical physics, mechanics, computational mathematics and theory of functions, algebra and topology. Product Description popup.authors Antoniuk Oleksandra V. Artemichenko Zhanna Ya. Atlasiuk Olena M. Bakan Andrew G. Boyko Vyacheslav M. Boichuk Oleksandr А. Burylko Oleksandr А. Vasylyk Vitalii B. Gerasimenko Viktor I. Holub Anatolii P. Goriunov Andrii S. Davydovych Vasyl' V. Dvornyk Anatolii V. Dzyubenko German A. Drozd Yuriy A. Eftekharinasab Kaveh A. Zorii Natalia V. Komaschenko Nina O. Konstantinov Oleksandr V. Kosyak Olexandr V. Kochubei Anatoly N. Koshmanenko Volodymyr D. Lukovskyi Ivan O. Lyubashenko Volodymyr V. Mazko Oleksii G. Makarov Volodymyr L. Maksymenko Sergiy I. Mikhailets Volodymyr A. Murach Oleksandr O. Nikitin Anatolii G. Nesterenko Maryna O. Panchuk Anastasiia A. Pokutnyi Oleksandr O. Popovych Roman O. Rebenko Oleksii L. Romanyuk Anatoliy S. Romanyuk Viktor S. Savkina Marta Yu. Savchuk Viktor V. Semenova Yevgeniya V. Serdyuk Anatolii S. Sysak Yaroslav P. Sytnyk Dmytro O. Skrypnik Volodymyr I. Sokolenko Igor V. Soldatov Vitalii O. Solodky Sergii G. Solodun Oleksandr V. Stasyuk Serhii A. Sushko Iryna M. Teplinsky Olexey Yu. Tymokha Oleksandr M. Tkachenko Viktor I. Trotsenko Yuriy V. Feruk Viktor A. Feshchenko Bogdan H. Cherniha Roman M. Shidlich Andrii L. Yanchenko Sergiy Ya. popup.nrat_date 2023-03-01 Close