Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics of a proposed delay-differential equation of motion for
  charged particles   We study the behavior in the remote past and future of solutions of an
equation of motion for charged particles proposed by F. Rohrlich, for the
special case in which the motion is in one spatial dimension.
  We show that if an external force is applied for a finite time, some
solutions exhibit the property of ``preacceleration'', meaning that the
particle accelerates before the force is applied, but that there do exist
solutions without preacceleration. However, most solutions without
preacceleration exhibit ``postacceleration'' into the infinite future (i.e.,
the particle accelerates after the force is removed). Some may consider such
behavior as sufficiently "unphysical" to rule out the equation.
  More encouragingly, we show that analogs of the unphysical ``runaway''
solutions of the Lorentz-Dirac equation do not occur for solutions of
Rohrlich's equation. We show that when the external force eventually vanishes,
the proper acceleration vanishes asymptotically in the future, and the
coordinate velocity becomes asymptotically constant.

3
The categories of this paper are: physics
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph