Об асимптотической классификации решений нелинейных уравнений третьего и четвертого порядков со степенной нелинейностью

Исследовано асимптотическое поведение всех решений нелинейных дифференциальных уравнений типа Эмдена - Фаулера третьего и четвертого порядков. Приведены ранее полученные автором настоящей статьи результаты. Уравнение n-го порядка сведено к системе на (п - 1)-мерной сфере. С помощью исследования асимптотического поведения всех возможных траекторий системы получена асимптотическая классификация решений исходного уравнения.

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