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Information Technologies and Systems 2013
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A scaled market process and nonlinear differential equations N. D. Vvedenskaya A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow |
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Abstract: We consider a caricature of buy and sell process where the price depends on supply and demand. The scaling of this model brings an initial-boundary value problem to nonlinear differential equations, in particular to quasi-linear equations. The existence and uniqueness of solution to differential equations are essential for the description of initial market problem. |
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