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Growth and long-run stability (1987)

Jensen, Bjarne Sloth ; Larsen, Mogens Esrom

Springer

Acta applicandae mathematicae 9 (1987), S. 219-237

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ISSN: 1572-9036

Keywords: 34A34 ; 34D99 ; 90A16 ; Nonlinear differential equations ; stability ; growth ; economic dynamics

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract This paper analyses the implications of persistent growth upon the stability properties of dynamic models. Besides the traditional concept of asymptotic stability, new stability criteria-strong/weak absolute, strong/weak relative, strong/weak logarithmic stability-are introduced, and global stability conditions for satisfying these criteria are stated for general first-order autonomous differential equations. The conflict between rapidity of growth and the degree of stability is demonstrated. Economic applications of the stability theorems are illustrated within the growth models of Harrod and Solow.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00047540

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