Mathematical modeling of business behavior under pulse investments

  • Larisa Vlasenko V.N. Karazin Kharkiv National University
  • Yuriy Lysenko Donetsk National University
  • Anatoliy Rutkas V.N. Karazin Kharkiv National University
Keywords: mathematical modeling, business behavior, pulse investments, dynamics model production

Abstract

Purpose and subject of researchWe consider linear and nonlinear models of business behavior under external pulse investments to basic production assets of enterprises.Research methodologyIn the article used methods and models of decision making, mathematical models of the dynamics, evolutionary models with implicit and degenerate differential equations.Value resultsThe article investigates the linear and nonlinear dynamics model production with external impulse investment in fixed assets of enterprises. Analyzed deceleration and acceleration rates of output growth, the effects of stabilization of fixed assets, investment optimization dynamics pulsed with quadratic performance.ConclusionsObtained formulas of overall production and basic assets contain jumps at moments of investment earnings. We analyze the deceleration and acceleration of business growth, the stabilization of basic assets, the optimization of dynamics of pulse investments with quadratic cost function.Key words: mathematical modeling, business behavior, pulse investments, dynamics model production

Author Biographies

Larisa Vlasenko, V.N. Karazin Kharkiv National University
doctor of technical sciences, professor, mathematic modeling and software department, V.N. Karazin Kharkiv National University(Kharkiv, Ukraine)
Yuriy Lysenko, Donetsk National University
corr.member of NAS of Ukraine, doctor of economic sciences, professor, Institute of Economic Cybernetics, Donetsk National University(Donetsk, Ukraine)
Anatoliy Rutkas, V.N. Karazin Kharkiv National University
doctor of phys.-math. sciences, professor, mathematic modeling and software department, V.N. Karazin Kharkiv National University(Kharkiv, Ukraine)

References

Hachataryan S.R., Pinegina M.V., (2005), “Methods and models to solve economic problems”, Moscow.

Samoilenko A.M., Perestuk N.A., (1987), “Differential Equations with Impulsive”, Kiev.

Vlasenko L.A., Lysenko Yu.G, Rutkas A.G., (2009), “Mathematical models of the dynamics of corporate enterprises using investment”, Economicsl cybernetic, vol. 59-60, pp. 64-71.

Vlasenko L.A., (2006), “Evolutionary models with implicit and degenerate differential equations”, Dnipropetrovsk.

Vlasenko L.A., Rutkas A.G., Samoilenko A.M., (2008), “Switching regulator problem for a dynamical system of Sobolev type”, Ukrainian material journal, vol. 60, pp. 1027-1034.

Bensunan A., J-L. Lions, (1987), “Impulse control and quasi-variational inequalities”, Moscow.

Issue
No. 1-3(79-81) (2013)
Section
Modeling in micro- and macroeconomic systems

Copyright (c) 2014 Larisa Vlasenko, Yuriy Lysenko, Anatoliy Rutkas

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