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On the Post-Darwin Approximation of the Maxwell–Lorentz Equations of Motion of Point Charges in the Absence of Neutrality

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Ukrainian Mathematical Journal Aims and scope

The existence of holomorphic (in time) solutions of the nonrelativistic equations of motion of nonneutral systems of point charges that do not contain inverse powers of the speed of light greater than three is proved by using the Cauchy theorem. The indicated equations contain time derivatives of the accelerations of charges.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    W. I. Skrypnik

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  1. W. I. Skrypnik
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Correspondence to W. I. Skrypnik.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 1, pp. 117–128, January, 2019.

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Skrypnik, W.I. On the Post-Darwin Approximation of the Maxwell–Lorentz Equations of Motion of Point Charges in the Absence of Neutrality. Ukr Math J 71, 131–144 (2019). https://doi.org/10.1007/s11253-019-01629-4

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  • DOI: https://doi.org/10.1007/s11253-019-01629-4

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