Relativistic Two-Body Problem: Existence and Uniqueness of Two-Sided Solutions to Functional-Differential Equations of Motion

DOI

10.2991/jnmp.1996.3.3-4.16How to use a DOI?

Abstract

We study a class of explicitly Poincare-invariant equations of motion (EMs) of two point bodies with a finite speed of propagation of interactions (combination of retarded and advanced ones) that may be considered as functional-differential equations or differential equations with deviating argument of a neutral type. Under conditions having a clear physical interpretation it is proved that there exist ordinary differential equations with all weakly-relativistic solutions satisfying the initial EMs. The existence and uniqueness of two-sided solutions of initial EMs on the infinite time interval are investigated.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - V.I. Zhdanov
PY  - 1996
DA  - 1996/09/02
TI  - Relativistic Two-Body Problem: Existence and Uniqueness of Two-Sided Solutions to Functional-Differential Equations of Motion
JO  - Journal of Nonlinear Mathematical Physics
SP  - 379
EP  - 384
VL  - 3
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1996.3.3-4.16
DO  - 10.2991/jnmp.1996.3.3-4.16
ID  - Zhdanov1996
ER  -