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0409U005782,
к.ф.-м.н.
04-12-2009
o
Asymptotic representations of the solutions of the second order differential equations with nonlinearities in some sense near to the power type
Bilozerova Maria Aleksandrovna,
popup.head Evtuckov Vjacheslav Mikhajlovich
popup.opponent Кігурадзе Іван Таріелович
popup.opponent Шинкаренко Володимир Миколайович
В дисертаційній роботі об'єктом дослідження є диференціальне рівняння другого порядку з нелінійностями, що є близькі до степеневих, а саме, правильно мінливі в нулі або на нескінченності. Для даного рівняння розроблено методику дослідження асимптотичної поведінки кожного з можливих типів введеного класу розв'язків; отримано необхідні та достатні умови їх існування, асимптотичні зображення при прямуванні аргументу до особливої точки для таких розв'язків та їх похідних першого порядку.
2009-12-04
2020-04-04
Updated: 2026-01-13
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