Structural Equivalence of Mathematical Billiards / L.V. Butorina and E.I. Kugushev // Vestn. Mosk. Univ., Matem. Mekhan. 2009. № 5. P. 66-69 [Moscow Univ. Mech. Bulletin. Vol. 64, No 5, 2009. P. 120-122]
It is shown, that under the assumption on the smoothness and strong convexity of boundaries, the mathematical billiards are structurally equivalent if and only if their regions are geometrically similar and the equivalence mapping of the boundaries is a similarity mapping.
Key words: mathematical billiards, equivalence.