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KIAM Preprint № 12, Moscow, 2004
Authors: Pustyl'nikov L. D.
On a geometrical problem connected with generalized billiards
We study a geometrical problem represented in two forms, which is connected with generalized newtonian billiards so that its solution is the trajectory of the corresponding billiard system. A special case of this problem is the classical problem on a determination of a shortest path between two points passing through a given line. It is obtained a full qualitative solution of the problem, and for countable number of cases it is shown that it is possible to find the solution by a construction with the help of compasses and ruler.
Publication language: russian,  pages: 21
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Pustyl'nikov L. D.,  KIAM RAS