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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2011 Volume 202, Number 11, Pages 55–74 (Mi sm7733)

This article is cited in 2 papers

Asymptotic behaviour of singular points of solutions of the problem of heavy $n$-dimensional body motion in the Lagrange case

A. V. Belyaev

Donetsk State University of Management

Abstract: The single-valuedness of solutions to the Lagrange case of a heavy $n$-dimensional body motion problem is proved. All entire solutions are found.
Bibliography: 23 titles.

Keywords: multidimensional body, Lagrange case, complete integrability, asymptotic behaviour of solutions, singular points of solutions.

UDC: 517.927.7

MSC: Primary 70E45; Secondary 34C05

Received: 05.05.2010 and 11.05.2011

DOI: 10.4213/sm7733


 English version:
Sbornik: Mathematics, 2011, 202:11, 1617–1635

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© Steklov Math. Inst. of RAS, 2024