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A Model Dynamics of Interacting Firms

DOI: 10.7763/ijapm.2013.v3.194

Keywords: Asymptotic behavior , blowing-up solutions , dynamics of interacting companies , system of nonlinear ordinary differential equations

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Abstract:

We deal with a system of nonlinear ordinary differential equations (ODEs), which models the dynamics of “immortality” of interacting companies. The system possesses blowing-up solutions. We determine the asymptotic behavior of these blowing-up solutions, and discuss the meaning in financial economics

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