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TERRA ECONOMICUS

About mathematical tools of research socio-economic systems

TERRA ECONOMICUS, , Vol. 12 (no. 2.2),
p. 46-51

Analyze existing approaches to mathematical modeling of socio-economic systems. Refined and systematized the concept of «interaction» and «intermediate state» in the socio-economic systems. Given the mathematical formulation of the Stefan problem, taking into account the propagation and diffusion of a substance (of goods, information, finance, management). Was studied in this regard, the model equation of commodity spread (also informational, financial) of the flow, which leads to the Korteweg-de Vries equation. In this model, to ensure the irreversibility of properties taken into account supply and demand for this commodity flow. It is shown that the unsteady Korteweg-de Vries equation has the form of the conservation law in the sense that the energy spent on the distribution of the commodity flow becomes potential energy entities with commodity flows.


Keywords: socio-economic systems; intermediate state of the system; mathematical tools; Korteweg-de Vries

References:
  • Burnside R.R. (1970). Remarks on the equtions of Langmur and Blasius // J. Math. Anal. and Appl., 30, no. 2, pp. 392–400.
  • Bernstein J. (2005). Max Born and the quantum theory. American Journal of Physics, vol. 73, pp. 999–1008.
  • Cheng H.X. (1982). A two-parametr Backlund transformations for the Boussinesq equations // J. Phys. A: Math. Gen., vol. 15, pp. 3367–3372.
  • Gavrylets Y.N. (1977). Mathematics in sociology. Modeling and information processing. Ed. by A.G. Aganbekyana, F.M. Borodkina. M., p.135. (In Russian.)
  • Integrability and kinematic equations for solitons (1990). Collection of scientific papers. Kiev. (In Russian.)
  • Kantorovich L.V., Gavurin M.K. (1977). Mathematics and economics – the interpenetration of Sciences. Bulletin of Leningrad University, no. 13, p. 34. (In Russian.)
  • Kubaniva M., Tabata M., Tabata S., Hasebe Yu (1991). Mathematical economics on a personal computer. M.: Finance and Statistics, 304. (In Russian.)
  • Kuizheva S.K. (2001). Calculation of annihilating polynomials of commuting operators. Reports Adyghe (Circassian) International Academy of Sciences. Nalchik, vol. 5, no. 2, pp. 31–33. (In Russian.)
  • Kuizheva S.K. (2002). Some Partial differential equation generated by commuting linear differential operators. Proceedings KBSC RAS, no. 1 (8), pp. 28–30. (In Russian.)
  • Mathematics in sociology. Modeling and processing (1977). M.: Mir, p. 6. (In Russian.)
  • Shapiro D.F. (2004). Partial differential equations. Special functions. Asymptotics. Novosibirsk, NSU. (In Russian.)
Publisher: Southern Federal University
Founder: Southern Federal University
ISSN: 2073-6606