Stability of nonlinear homogeneous difference equations |
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Authors: | Takao Fujimoto |
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Affiliation: | Department of Economics, University of Kagawa, Takamatsu, Kagawa 760, Japan |
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Abstract: | A class of nonlinear homogeneous difference equations is considered in which each coefficient is a homogeneous function of variables. A sufficient condition of relative stability is presented using a nonlinear generalization of the Perron-Frobenius theorem due to Morishima (“Equilibrium, Stability and Growth,” Oxford Univ. Press, Oxford, 1964). |
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