Journal of Applied and Industrial Mathematics

, Volume 5, Issue 4, pp 542–550 | Cite as

Quasistationary solutions in economic systems with variable technology



Stationary solutions play an important role in the studies of models of economic dynamics with constant parameters. We select the two classes of dynamical systems with variable parameters and prove for them the existence of special solutions preserving some properties of stationary solutions (for instance, uniform boundedness).


model of economic dynamics stationary solution variable parameters quasistationary solutions hyperbolic points stable development 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    V. L. Makarov and A. M. Rubinov, Mathematical Theory of Dynamics and Equilibrium in Economy (Nauka, Moscow, 1973) [in Russian].Google Scholar
  2. 2.
    V. I. Danilov, “Optimal Development of an Economy with Varying Technology,” in Methods of Functional Analysis in Mathematical Economy (Nauka, Moscow, 1978), pp. 3–22.Google Scholar
  3. 3.
    L. McKenzie, “Optimal Economic Growth, Turnpike Theorems, and Comparative Dynamics,” in Handbook of Mathematical Economics, Vol. 3 (North-Holland, Amsterdam, 1986), pp. 1281–1355.Google Scholar
  4. 4.
    N. P. Dement’ev, “Regular Trajectories in the Models of Economic Dynamics with a Weekly Changing Technology,” in Analysis and Modeling of Economic Processes of a Transition Period in Russia (EKOR, Novosibirsk, 1996), pp. 180–191.Google Scholar
  5. 5.
    N. P. Dement’ev, Turnpike Properties of the Models of Economic Dynamics with Consumption (Nauka, Novosibirsk, 1991) [in Russian].Google Scholar
  6. 6.
    N. P. Dement’ev and V. M. Cheresiz, “Quasistationary Solutions to the Economic Differential Models with Slow Varying Parameters,” Sibirsk.Zh. Industr. Mat. 5(2), 70–93 (2002).MATHMathSciNetGoogle Scholar
  7. 7.
    L. V. Kantorovich and G. P. Akilov, Functional Analysis (Nauka, Moscow, 1977) [in Russian].Google Scholar
  8. 8.
    Mathematical Encyclopedia, Vol. 1 (Sovetskaya Enciklopediya, Moscow, 1977) [in Russian].Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  1. 1.Institute of Economics and Industrial EngineeringNovosibirskRussia

Personalised recommendations