Necessary conditions for the existence of particular algebraic first integrals

DOI10.1007/BF00051688zbMath0822.34009MaRDI QIDQ1805150

V. V. Lunyov

Publication date: 19 September 1995

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

algebraic particular first integralsKowaleveski's exponent

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Hamilton-Jacobi equations in mechanics (70H20) Celestial mechanics (70F15) Motion of the gyroscope (70E05)

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