Asymptotic behavior of solutions of third-order differential equations with rapidly varying nonlinearity:

• Date: 2022
• Main Authors: Evtukhov, V. M., Sharay , N. V., Євтухов, В. М., Шарай, Н. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6821
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.925For binomial essentially nonlinear nonautonomous differential equations of the third order with rapidly varying nonlinearity, we establish necessary and sufficient conditions of existence of rapidly varying solutions and their asymptotic representations for $t\uparrow\omega$ ($\omega\le +...