Geodesic
Constructing of Abel equations quivalented to the equation of the form $\dot{x}=A(t)(\xi_{0}+\xi_{1}x+\xi_{2}x^2+\xi_{3}x^3)$
Problemy fiziki, matematiki i tehniki, no. 2 (2012), pp. 55-61

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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.
Mots-clés : Abel equation, polynomial perturbations.
Keywords: reflecting function, equivalence of differential equations 
@article{PFMT_2012_2_a8,
     author = {V. A. Belsky and V. I. Mironenko},
     title = {Constructing of {Abel} equations quivalented to the equation of the form $\dot{x}=A(t)(\xi_{0}+\xi_{1}x+\xi_{2}x^2+\xi_{3}x^3)$},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {55--61},
     publisher = {mathdoc},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2012_2_a8/}
}
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V. A. Belsky; V. I. Mironenko. Constructing of Abel equations quivalented to the equation of the form $\dot{x}=A(t)(\xi_{0}+\xi_{1}x+\xi_{2}x^2+\xi_{3}x^3)$. Problemy fiziki, matematiki i tehniki, no. 2 (2012), pp. 55-61. http://geodesic.mathdoc.fr/item/PFMT_2012_2_a8/