Dynamic inputoutput balance with leading argument

Authors

  • Igor Lyashenko Taras Shevchenko National University of Kyiv
  • Yuriy Tadeev Taras Shevchenko National University of Kyiv

Abstract

Purpose and subject of research
The paper treats the problem of building backbone trajectory equation Cauchy problem,
where the backbone trajectory is a trajectory of maximum sustainable exponential growth
equation.
Research methodology
This paper uses the model of Leontief "input-output" and differential equations.
Value results
The resulting main path should be used for economic development strategic planning.
Conclusions
In this paper the dynamic input-output model that takes into account the time lag construction
and commissioning of new capacities. The existence of a single backbone path as
the trajectory of maximum sustainable exponential growth. Based on the introduction of two
hypotheses about the balance of values "consumption-production" held dual dynamic analysis
model ahead of the item. Found that the line output growth and increasing prices of products
are the same, the same trajectory as expressed through the right and left vectors Frobenius.

Author Biographies

  • Igor Lyashenko, Taras Shevchenko National University of Kyiv

    Dr.phys.-math.sci., prof.,
    Taras Shevchenko National University of Kyiv,
    professor 

  • Yuriy Tadeev, Taras Shevchenko National University of Kyiv
    Cand.econ.sci., as.prof.,
    Taras Shevchenko National University of Kyiv,
    doctorate

References

Leontiev, V.V. (1997), Mezhotraslevaya economics, Moscow,

Publishing Economics.

Myshkis, A.D. (1972), Line differential equation with retarded

argument, Moscow, Science.

Ponomarenko, O.I., Perestyuk, M.O., Burym, V.M.

(2004), Modern economic analysis In 2 parts, Part 2, Macroeconomics, Kiev, High School.

Ljashenko, I.M., Ljashenko, O.I., Onishchenko, A.M.

(2009), “Economic hypotheses and dynamics of equilibrium

prices in Leontief model "input-output"”, Economic Cybernetics,

Vol. 57-58, pp. 14-18.

Issue

Section

Modeling in micro- and macroeconomic systems