2017
Том 69
№ 6

All Issues

Periodic and Bounded Solutions of the Coulomb Equation of Motion of Two and Three Point Charges with Equilibrium in the Line

Skrypnik W. I.

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Abstract

Periodic and bounded solutions of the Coulomb equation of motion in the line are obtained for two and three identical negative point charges in the fields of two and three symmetrically located fixed point charges. The systems possess equilibrium configurations. The Lyapunov, Siegel, Moser, and Weinstein theorems are applied.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 5, pp 758-774.

Citation Example: Skrypnik W. I. Periodic and Bounded Solutions of the Coulomb Equation of Motion of Two and Three Point Charges with Equilibrium in the Line // Ukr. Mat. Zh. - 2014. - 66, № 5. - pp. 679–693.

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