On Holomorphic Solutions of the Darwin Equations of Motion of Point Charges
The existence of holomorphic (in time) solutions of the nonrelativistic Darwin equations of motion of point charges is proved with the help of the Cauchy theorem.
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 4, pp 602-611.
Citation Example: Skrypnik W. I. On Holomorphic Solutions of the Darwin Equations of Motion of Point Charges // Ukr. Mat. Zh. - 2013. - 65, № 4. - pp. 546-554.