Новые критерии осцилляции нелинейных возмущенных дифференциальных уравнений с запаздыванием второго порядка

В данной работе рассматривается класс возмущенных дифференциальных уравнений второго порядка с запаздыванием вида

(η(κ)u′(κ))′ + f₁(κ, u(τ (κ))) = f₁(κ, u′(κ)).

С помощью метода преобразований исследуемое уравнение преобразуется в биномиальное, а затем с использованием преобразования Риккати, теоремы сравнения и метода интегрального усреднения получаются новые критерии осцилляции. Приводятся примеры, демонстрирующие важность и новизну основных результатов.

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