Asymptotics of Slowly Varying Solutions of Ordinary Binomial Differential Equations of the Second Order with Rapidly Varying Nonlinearity

Resumo

We establish the conditions for the existence of one class of solutions of a nonautonomous binomial differential equation of the second order with rapidly varying nonlinearity and the asymptotic representations for these solutions and their first derivatives as t ↑ ω (ω ≤ +∞).