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Title: Nonuniqueness in the solutions of Newton's equation of motion
Authors: Dhar, Abhishek
Issue Date: Jan-1993
Publisher: American Association of Physics Teachers
Citation: American Journal of Physics, 1993, Vol.61, p58
Abstract: In the case of singular forces, for which some of the higher derivatives do not exist at a given point, it is not generally true that Newton's equations of motion will give unique solutions for given initial conditions. In this paper, the motion of a particle in a one-dimensional conservative force field is considered. The necessary and sufficient conditions that ensure unique solutions are determined.
Description: Restricted Access. An open-access version is available at (one of the alternative locations)
ISSN: 0002-9505
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Copyright: 1993 American Association of Physics Teachers
Appears in Collections:Research Papers (TP)

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