Asymptotic representations of a class of regularly varying solutions of differential equations of the second order with rapidly and regularly varying nonlinearities. (English) Zbl 1397.34086

Chepok, O. O.

Mem. Differ. Equ. Math. Phys. 74, 79-92 (2018).

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

MSC:

34D05

Asymptotic properties of solutions to ordinary differential equations

Keywords:

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