A Collinear n-Body Problem of Classical Electrodynamics.
Abstract
One model for the motion of n charged particles on the x-axis leads to a system of delay differential equations with delays dependent on the unknown trajectories. If appropriate past histories of the trajectories are given, say on alpha, zero, then for sufficiently small equal to or greater than zero one has a system of n squared ordinary differential equations of the form y' = f(t,y) with y(0) = y sub zero are given. The function f, which involves the known past histories of the trajectories, is continuous; so existence of solutions is assured. However, f does not satisfy the Lipschitz condition usually used for proving uniqueness.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1980
- Accession Number
- ADA088114
Entities
People
- M. J. Norris
- R. D. Driver
Organizations
- University of Rhode Island