Liouvillian solutions in the problem of rolling of a heavy homogeneous ball on a surface of revolution

DOI10.1134/S1063454121040105OpenAlexW4285356460MaRDI QIDQ2668905

D. V. Solomina, Alexander S. Kuleshov

Publication date: 9 March 2022

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454121040105

zbMATH Keywords

second-order linear differential equationellipsoid of revolutionLiouvillian functionKovacic algorithmnon-slipping rolling

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Motion of a rigid body in contact with a solid surface (70E18)

Cites Work

• An algorithm for solving second order linear homogeneous differential equations
• Nonexistence of Liouvillian solutions in the problem of motion of a rotationally symmetric ellipsoid on a perfectly rough plane
• Unnamed Item

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