The Lorentz-Dirac equation, II

This paper continues the study of the Lorentz-Dirac equation taux''' - x" = d/dx V(x), which aas begun in [6]. In particular, we study the qualitative behaviour of Dirac's so-called 'non runaway" solutions modelling motions o f particles which are reftected respectively transmitted by an obstacle giv en by the potential function V(x). We show that if the potential has a suff iciently sharp maximum, then the solutions oscillate a certain number of ti mes around the maximum of the potential before being reflected or transmitt ed.