Geodesic
The reflecting function of one two dimensional differential system
Problemy fiziki, matematiki i tehniki, no. 2 (2012), pp. 65-67

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It was established , that if the first component of the Mironenko reflecting function of the system $\dot{x} = a_0 (t, x) + ya_1 (t, x)$, $\dot{y} = b_0 (t, x) + yb_1 (t, x) + y b_2 (t, x)$ is linear with respect to $x$, and independent of $y$ then the second component of the reflecting function is linear with respect to $y$.
Keywords: differential system, reflecting function, periodic solutions. 
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     author = {P. P. Veresovich},
     title = {The reflecting function of one two dimensional differential system},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {65--67},
     publisher = {mathdoc},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2012_2_a10/}
}
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P. P. Veresovich. The reflecting function of one two dimensional differential system. Problemy fiziki, matematiki i tehniki, no. 2 (2012), pp. 65-67. http://geodesic.mathdoc.fr/item/PFMT_2012_2_a10/