Abstract
A theory is developed concerning the geometric characterization of separable systems of second-order ordinary differential equations. The idea is to find necessary and sufficient conditions which will guarantee the existence of coordinates, with respect to which a given system decouples. The methodology stems from the theory of derivations of scalar and vector-valued forms along the projection π0 1 : J1π → E, where E is fibred over R (projection π). Particular attention is paid to features of the time-dependent set-up, which differ from the previously developed theory for autonomous equations.
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References
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© 1996 Kluwer Academic Publishers
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Sarlet, W. (1996). Separability of time-dependent second-order equations. In: Tamássy, L., Szenthe, J. (eds) New Developments in Differential Geometry. Mathematics and Its Applications, vol 350. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0149-0_29
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DOI: https://doi.org/10.1007/978-94-009-0149-0_29
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6553-5
Online ISBN: 978-94-009-0149-0
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