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A comparison theorem for Hamiltonian vector fields

Weinstein, Alan J. and Marsden, Jerrold E. (1970) A comparison theorem for Hamiltonian vector fields. Proceedings of the American Mathematical Society, 26 (4). pp. 629-631. ISSN 0002-9939.

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The question of completeness of Hamiltonian systems is investigated for a class of potentials not necessarily bounded below. The result generalizes previous work of W. Gordon and D. Ebin.

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Additional Information:© 1970 American Mathematical Society . Received by the editors March 15, 1970. Partially supported by NSF Grant GP-13348. Partially supported by Navy contract N00014-69-A-0200-1002.
Funding AgencyGrant Number
NSF GP-13348
Subject Keywords:Complete vector field, infinite-dimensional manifold, Hamiltonian vector field, dissipative system.
Classification Code:AMS 1969 subject classifications: Primary 3465; Secondary 3442
Record Number:CaltechAUTHORS:20100910-101004513
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19863
Deposited By: Ruth Sustaita
Deposited On:10 Sep 2010 17:53
Last Modified:27 Jan 2015 18:28

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