Асимптотическое поведение одного класса решений нелинейных неавтономных дифференциальных уравнений второго порядка

Abstract

For the ordinary differential second-kind equation containing in a right member the sum composed with correctly varying concerning unknown function and its derivative of the first order by nonlinearities, necessary and sufficient existence enough a wide class of monotone solutions, and as exact asymptotic representations of solutions from the given class in a neighborhood of a singular point are established.