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http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2250| Title: | Conservation laws and symmetry in economic growth models: a geometrical approach Leyes de conservación y simetría en modelos de crecimiento económico: una aproximación geométrica |
| Keywords: | Sistemas mecánicos Ecuaciones diferenciales Ecuaciones de segundo orden Crecimiento económico Modelo geométrico Sistema infinitesimal Sistemas dinámicos |
| Publisher: | Universidad de Extremadura |
| Description: | The aim of the present paper is twofold. On one hand, we present a classification of infinitesimal symmetries for Lagrangian systems, and the corresponding Noether theorems. The derivation of the result is made by using the symplectic techniques. Some of the results were previously obtained by other authors (see Prince (1985) for instance), and an exhaustive presentation can be found in de León and Martín de Diego (1995, 1996). Let us note that these results are true even if the Lagrangian function is singular, which is usually the case in economic models. On the other hand, we apply our methods to derive some well-known conservation laws, in particular the income-wealth conservation law obtained by Weitzman (1976) and the Samuelson's first law (see Samuelson (1970)). This work has been supported by grants DGICYT (Spain) Project PB94-0106. Peer reviewed |
| URI: | http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2250 |
| Other Identifiers: | Extracta Mathematicae, 1998, 13 (3): 335-348. 0213-8743 http://hdl.handle.net/10261/2250 |
| Appears in Collections: | Digital Csic |
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