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Information × Registration Number 0225U004055, (0120U103104) , R & D reports Title Invariant Torah of differential and differential equations in the spaces of limited numerical sequences popup.stage_title Інваріантні тори диференціально-різницевих рівнянь у просторах обмежених числових послідовностей Head Teplinskyi Yurii Volodymyrovych, д.ф.-м.н. Registration Date 31-10-2025 Organization Kamianets-Podilskyi National Ivan Ohiienko University popup.description1 The problem is to find sufficient conditions in which the system of equations, defined on the infinite-dimensional Torah, has almost periodic family in the sense of Bohr solutions, each of which can be adapted to the predetermined accuracy of quasi-periodic in the sense of Bol solution of the corresponding shortened system of equations. popup.description2 Object of study: differential and difference equations in Banach spaces of bounded numerical sequences. Subject of study: investigation of the behavior of oscillatory solutions of the specified equations defined on their invariant toroidal manifolds. The project aims to solve the following tasks: – to determine and justify sufficient conditions for the existence of oscillatory solutions of linear, quasi-linear, and nonlinear evolutionary equations; – to develop methods for approximating quasi-periodic solutions of these equations by quasi-periodic solutions of simpler types of equations; - to publish the main results in category B mathematical journals; - to test these results in reports at international scientific conferences. The novelty of the project lies in the fact that: – the application of the Green-Samoilenko function method to a new class of problems in nonlinear oscillation theory is theoretically justified. Another feature of the project is the integration of the results obtained into the educational process (first- and second-year master's students). Product Description popup.authors popup.nrat_date 2025-11-03 Close