Asymptotic Behavior of Solutions of Ordinary Differential Equations of the nth Order with Regularly Varying Nonlinearities

Resumo

We establish conditions for the existence of some classes of solutions of nonautonomous differential equations of the nth order with regularly varying nonlinearities and asymptotic representations of these solutions and their derivatives up to order n – 1; inclusively, as t ↑ ω ( ω ≤ + ∞ ).