O. O. Chepok

Asymptotic Representations of a Class of Regularly Varying Solutions of Differential Equations of the Second Order with Rapidly and Regularly Varying Nonlinearities

The asymptotic representations of solutions of a class of differential equations of the second order with rapidly and regularly varying nonlinearities are established.

Mathematics Subject Classification: 34C41, 3410

Key words and phrases: Asymptotic representations of solutions, rapidly varying functions, regularly varying functions, $P_{\omega}(Y_0,Y_1,\lambda_0)$-solutions of the equation, regularly varying solutions