Abstract
In this paper we analyze the dynamic of the Solow growth model with a Cobb‐Douglas production function. For this purpose, we consider that the labour growth rate, L′(t)/L(t), is a T‐periodic function, for a fixed positive real number T.We obtain the closed form solutions for the fundamental Solow equation with the new description of L(t). Using notions of the qualitative theory of ordinary differential equations and nonlinear functional analysis, we prove that there exists one T‐periodic solution for the Solow equation.From the economic point of view this is a new result which allows a more realistic interpretation of the stylized facts.
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