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Published 1968 | Reprint
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Generalized Hamiltonian mechanics

Marsden, J. E.

Abstract

Our purpose is to generalize Hamiltonian mechanics t the case in which the energy function (Hamiltonian), H , is a distribution (generalized function) in the sense of Schwartz. We follow the same general program as in the smooth case. Familiarity with the smooth case is helpful, although we have striven to make the exposition self-contained, starting from calculus on manifold.

Additional Information

© 1967, Springer-Verlag. Received November, 20.1967. Communicated by C. Truesdell. Off print from "Archive for Rational Mechanics and Analysis". Volume 28, Number 5, 1968, P.323-361

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August 19, 2023
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