Chemistry Reference
In-Depth Information
Continuously distributed time lags were originally introduced and applied in
mathematical biology (see for example, Cushing (1977)). They have been intro-
duced into economic modeling by Invernizzi and Medio (1991). Chiarella and
Khomin (1996) applied these techniques to Cournot oligopolies with some simu-
lation results. Chiarella and Szidarovszky (2001
a
) gave a detailed discussion of the
problem with a general solution. The fundamentals of bifurcation theory are pre-
sented in many topics, for example, Guckenheimer and Holmes (1983), Jackson
(1989), and Kubicek and Marek (1986) are all good sources for the most important
results. In the models discussed in this section nonlinear Volterra-type integro-
differential equations were considered, a topic on which Volterra (1931) and Miller
(1972) offer useful additional material.
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