Nonexistence of Liouvillian solutions in the problem of motion of a rotationally symmetric ellipsoid on a perfectly rough plane

DOI10.3103/S106345411702008XzbMath1373.34019OpenAlexW2733757394MaRDI QIDQ2402586

M. O. Itskovich, Alexander S. Kuleshov

Publication date: 20 September 2017

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

Full work available at URL: https://doi.org/10.3103/s106345411702008x

zbMATH Keywords

Liouvillian solutionsKovacic algorithmrotationally symmetric ellipsoid

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Motion of a rigid body in contact with a solid surface (70E18)

Related Items (1)

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

Cites Work

• An algorithm for solving second order linear homogeneous differential equations
• On a motion of a heavy body of revolution on a horizontal plane. Translated from the Russian 1897 original

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