This article is cited in 2 papers

On polinomial integrals of systems with elastic impacts

T. V. Kozlova

Sub-faculty of Theoretical Mechanics, Department of Mathematics and Mechanics, Moscow State University, Vorob'evy Gory, Moscow, 119899, Russia

Abstract: In the paper integrability of a perturbed billiard in a potential field is considered. Both conditional and nonconditional integrals are discussed. The cases when additional integrals of the first, second and third degrees in momenta exist have been found.

MSC: 35F36

Received: 13.02.1999

Language: English

DOI: 10.1070/RD1999v004n01ABEH000100

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