no. 1
Existence, uniqueness and iterative construction of motions of charged particles with retarded interactions
Annales de l'I.H.P. Physique théorique, Tome 39 (1983) no. 1, pp. 1-27. 
@article{AIHPA_1983__39_1_1_0,
     author = {Eder, E.},
     title = {Existence, uniqueness and iterative construction of motions of charged particles with retarded interactions},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {1--27},
     publisher = {Gauthier-Villars},
     volume = {39},
     number = {1},
     year = {1983},
     mrnumber = {715129},
     zbl = {0516.34066},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1983__39_1_1_0/}
}
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Eder, E. Existence, uniqueness and iterative construction of motions of charged particles with retarded interactions. Annales de l'I.H.P. Physique théorique, Tome 39 (1983) no. 1, pp. 1-27. http://archive.numdam.org/item/AIHPA_1983__39_1_1_0/

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[3] R. Flume, Ein Existenzbeweis für Lösungen des klassischen Zweielektronenproblems, Commun. math. Phys., t. 20, 1971, p. 111-122. | MR

[4] T.M. Flett, Differential analysis, Cambridge University Press, 1980. | MR