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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the completeness of Hamiltonian vector fields
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by William B. Gordon
Proc. Amer. Math. Soc. 26 (1970), 329-331
DOI: https://doi.org/10.1090/S0002-9939-1970-0276574-1
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Abstract:

Sufficient conditions are given for a hamiltonian vector field to be complete which involve bounds on the potential or its gradient.
References
    R. Abraham, Foundations of mechanics, Benjamin, New York, 1967. MR 36 #3527.
  • Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0171038
  • John Nash, The imbedding problem for Riemannian manifolds, Ann. of Math. (2) 63 (1956), 20–63. MR 75639, DOI 10.2307/1969989
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 26 (1970), 329-331
  • MSC: Primary 34.65; Secondary 53.00
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0276574-1
  • MathSciNet review: 0276574