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On a model of the multi-sector economy. (Russian) Zbl 1054.91557

The mathematical model of the multi-sector economy is under consideration. We assume that each sector of the economy is independent and every sector produces different production. The dynamics of the economy is described by system of the independent linear equations. The problem about the economical growth on the finite time interval is stated. The analysis is based on the function of the economy effectiveness. The optimal solution of the problem is looked for on the basis of the Krotov method. For piecewise linear production function the theorem about the optimal process of the economy growth is proved.

MSC:

91B62 Economic growth models
91B60 Trade models
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