Sergej A. Choroszavin ( sergius@pve.vsu.ru )
  Once More on Interaction of An Oscillator with 
  An One-Dimensional Scalar Field.
  Simple Exactly Solvable Models based on  
  Finite Rank Perturbations Methods. 
  I: D'Alembert-Kirchhoff-like formulae 
(87K, LaTeX 2.09)

ABSTRACT.   This paper is an electronic application to my set of lectures, 
 subject:`Formal methods in solving differential equations and 
 constructing models of physical phenomena'. Addressed, mainly: 
 postgraduates and related readers. 
 Content: a very detailed discussion of the simple model of interaction based 
 on the equation array: 
 d^2 q(t)/dt^2 =-\Omega^2(q(t)-Q(t))+f_0(t) , 
 d^2 u(t,x)/t^2=c^{2}d^2 u(t,x)/dx ^2
                 -4\gamma c\delta(x-x_0)(Q(t)-q(t))+f_1(t,x) , 
 Q(t) = u(t,x_0) .
 Besides, less detailed discussion of related models.
 Central mathematical points: d'Alembert-Kirchhoff-like formulae. 
 Central physical points: phenomena of Radiation Reaction, Braking Radiation 
 and Resonance.