Search academic texts

Information × Registration Number 0224U001832, 0117U003184 , R & D reports Title Asymtotic properties of solutions of differential equations and systems in real and complex area popup.stage_title Head Yevtukhov Viacheslav M, Доктор фізико-математичних наук Registration Date 31-01-2024 Organization Odessa I. I. Mechnikov National University popup.description2  For quasi-linear systems of ordinary differential equations, new conditions for the existence of infinite and bounded solutions have been obtained. A methodology for studying the asymptotic behavior of solutions of non-autonomous, nonlinear binomial differential equations of the second, third, and nth orders with exponential, power-law, and properly varying nonlinearities, as well as equations containing the sum of nonlinear terms on the right-hand side, has been developed. With the use of this technique, exact asymptotic formulas for various types of solutions of such equations, as well as necessary and sufficient conditions for their existence, were obtained. New results were obtained on the asymptotic behavior of solutions of equations with exponential nonlinearity. Product Description popup.authors Evtukhov Viatheslav M. Bilozerova Maria O. Gerzhanovska Greta A. Kolun Nataliia P. Samkova Galina E. Stehun Angela L. Chepok Olga O. Chernikova Anastasia S. Sharai Nataliya V. popup.nrat_date 2024-01-31 Close