Constructing of Abel equations quivalented to the equation of the form $\dot{x}=A(t)(\xi_{0}+\xi_{1}x+\xi_{2}x^2+\xi_{3}x^3)$

The sufficient conditions for coinsidering Mironenko reflecting functions of Abel equations $\dot{x}= a_0 (t) + a_1 (t)x + a_2 (t)x^2 + a_3 (t)x^3$ and $\dot{x}=A(t)(\xi_{0}+\xi_{1}x+\xi_{2}x^2+\xi_{3}x^3)$ where $\xi_i$ are constants are established. Obtained results are illustrated by examples.