THE ANALYSIS OF PERIODIC PROCESSES OF ECONOMIC GROWTH ON THE BASIS OF MODEL OF SENSITIVITY (Analiz periodychnykh protsesiv ekonomichnoho zrostannia na osnovi modeli chutlyvosti)

• Authors: Bilyi Leonid A. , Dutka Hanna Ya.
• Languages of publication: UK

Abstracts

EN

The publication is devoted to the analysis of the Harrod-Domar nonlinear model of economic growth, based on the model of sensitivity to initial conditions. This model is based on assumptions on the nonlinearity of the production function and periodic character of the volume of consumption. Instead of the traditional solution of the Cauchy problem and the definition of economic growth as the end of the transition process it is proposed to seek T-periodic solution. Equation of the model with initial conditions at the edges of the period has the form of two-point boundary value problem. Numerical integration of differential equation in the interval of time equal to the period T and the found solution for t=T is specified by the iterative formula of Newton. The condition for determining periodic solutions is equal to zero objective function.

Keywords

EN

ECONOMIC GROWTH; MATHEMATICAL MODEL; MODEL OF SENSITIVITY; PRODUCTION FUNCTION

Discipline

• ECONOMICS: ECONOMICS

• Publisher: Institute of Regional Research, National Academy of Sciences of Ukraine,
• Journal: Rehionalna ekonomika
• Year: 2009
• Issue: 1(51)
• Pages: 201-207
• Document type: ARTICLE

Contributors

author

Bilyi Leonid A.

author

Dutka Hanna Ya.

• Leonid A. Bilyi, kafedra ekonomichnoi kibernetyky, Lvivskyi instytut bankivskoi spravy Universytetu bankivskoi spravy NBU, prosp. T. Shevchenka, 9, 79005 m. Lviv, Ukraine

Identifiers

CEJSH db identifier

10UAAAAA074535