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

• Дата: 2022
• Автори: Evtukhov, V. M., Sharay , N. V., Євтухов, В. М., Шарай, Н. В.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2022
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/6821
• Назва журналу: 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 +...