This article is cited in 14 papers

On one class of dynamic transportation models

L. A. Beklaryan, N. K. Khachatryan

Central Economics and Mathematics Institute, Russian Academy of Sciences, Nakhimovskii pr. 47, Moscow, 117418, Russia

Abstract: A model is studied that describes the process of good transportation occurring in some technologies. Transportation regimes satisfying a given management system are examined. Such regimes are described by traveling-wave solutions to a nonlinear finite-difference analogue of a parabolic equation. Possible transportation regimes are described, and the stability of stationary regimes is analyzed.

Key words: nonlinear finite-difference analogue of parabolic equation, traveling-wave solutions, stability, dynamic transportation models.

UDC: 519.658

Received: 15.03.2013

DOI: 10.7868/S0044466913100037

 English version: Computational Mathematics and Mathematical Physics, 2013, 53:10, 1466–1482

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