Sharif Digital Repository

Describing the motion of a mass point in a domain with elastic reflections from the boundary has different dimensions and angles where various methods and approaches are tested and honed to it. Usually the dynamic of this motion is studied easily but in many cases this leads to some open problems where obtaining partial solutions of them requires advanced and complicated technics. The connection of this kind of problems with geometry and physics illustrate them very nice as an applied branch of mathematics. In this dissertation billiards problems and required tools for investigating them are gathered