Averaging of initial-value and multipoint problems for oscillation systems with slowly varying frequencies and deviated argument

• Дата: 2007
• Автори: Danylyuk, I. M., Petryshyn, R. I., Samoilenko, A. M., Данилюк, І. М., Петришин, Р. І., Самойленко, А. М.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2007
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3316
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We prove new theorems on the substantiation of the method of averaging over all fast variables on a segment and a semiaxis for multifrequency systems with deviated argument in slow and fast variables. An algorithm for the solution of a multipoint problem with parameters is studied, and an estimate f...