 03509 Sergej A. Choroszavin ( sergius@pve.vsu.ru )
 The Ground, a String, Two Elastic Springs.
Simple Exactly Solvable Models
of OneDimensional Scalar Fields
with Concentrated Factors.
(50K, LaTeX 2.09)
Nov 25, 03

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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 discussion of the simple models
( I would rather say, toy models )
of the interaction based
on equation arrays of the kind:
d^2 u(t,x)/dt^2=c^{2}d^2 u(t,x)/dx^2
4{\gamma_a}c\delta(xx_a) Q_a(t)
4{\gamma_b}c\delta(xx_b) Q_b(t),
Q_a(t) = u(t,x_a), Q_b(t) = u(t,x_b).
Central mathematical points: d'AlembertKirchhofflike Formulae,
Finite Rank Perturbations.
 Files:
03509.src(
desc ,
03509.tex )