Geodesic
Delay equations of the Wheeler--Feynman type
Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 3, Tome 47 (2013), pp. 46-59

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We present an approximate model of Wheeler–Feynman electrodynamics, for which uniqueness of solutions is proved. It is simple enough to be instructive but close enough to Wheeler–Feynman electrodynamics such that we can discuss its natural type of initial data, constants of motion, and stable orbits with regard to Wheeler–Feynman electrodynamics. 
@article{CMFD_2013_47_a3,
     author = {D.-A. Deckert and D. D\"urr and N. Vona},
     title = {Delay equations of the {Wheeler--Feynman} type},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {46--59},
     publisher = {mathdoc},
     volume = {47},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2013_47_a3/}
}
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D.-A. Deckert; D. Dürr; N. Vona. Delay equations of the Wheeler--Feynman type. Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 3, Tome 47 (2013), pp. 46-59. http://geodesic.mathdoc.fr/item/CMFD_2013_47_a3/