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Nonuniqueness in the solutions of Newton's equation of motion

dc.contributor.authorDhar, Abhishek
dc.date.accessioned2012-05-23T03:45:50Z
dc.date.available2012-05-23T03:45:50Z
dc.date.issued1993-01
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en
dc.description.abstractIn 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.en
dc.identifier.citationAmerican Journal of Physics, 1993, Vol.61, p58en
dc.identifier.issn0002-9505
dc.identifier.urihttp://hdl.handle.net/2289/4508
dc.language.isoenen
dc.publisherAmerican Association of Physics Teachersen
dc.relation.urihttp://adsabs.harvard.edu/abs/1993AmJPh..61...58Den
dc.relation.urihttp://dx.doi.org/10.1119/1.17411en
dc.rights1993 American Association of Physics Teachersen
dc.titleNonuniqueness in the solutions of Newton's equation of motionen
dc.typeArticleen

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