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1

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

100%
Bilyi L. A., Dutka H. Y.
Rehionalna ekonomika
|
2009
|
issue 1(51)
201-207
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.
2

Matematicheskaya model' dlya opredeleniya e'kologicheskogo i e'konomicheskogo ushcherba pri tochechnom kratkovremennom vybrose zagryaznyayushchih veshchestv v atmosferu

88%
Dolgikh V. M.
Mekhanizm Rehuluvannya Economiky
|
2011
|
vol. 2 (52)
13-22
EN
Considered a mathematical model, describing processes of the spreading the pollution in atmosphere from short-time source, processes of the damaging of objects in zone of the contamination, allowing to evaluate the damage in consequence of environmental pollutions.
3

MATHEMATICAL MODELS AS ABSTRACTIONS

75%
Zámečník L.
Organon F. medzinárodný časopis pre analytickú filozofiu
|
2018
|
vol. 25
|
issue 2
244 - 264
EN
The paper concerns a contemporary problem emerging in philosophy of science about the explanatory status of mathematical models as abstractions. The starting point lies in the analysis of Morrison’s discrimination of models as idealizations and models as abstractions. There abstraction has a special status because its non-realistic nature (e.g. an infinite number of particles, an infinite structure of fractal etc.) is the very reason for its explanatory success and usefulness. The paper presents two new examples of mathematical models as abstractions – the fractal invariant of phase space transformations in the dynamic systems theory and infinite sets in the formal grammar and automata theory. The author is convinced about the indispensability of mathematical models as abstraction, but somehow disagrees with the interpretation of its explanatory power.
4

Efektyvnist' mekhanizmiv transformatsiyisystemy orhanizatsiyno-tekhnichnoho rehulyuvannya ekonomiky: metodychnyy pidkhid do otsinky

75%
Deyatlova V. V.
Mekhanizm Rehuluvannya Economiky
|
2013
|
vol. 1 (59)
70-77
EN
Transformation of organizational and technical regulation’s system of the national economy actualizes the issue of evaluation of input mechanisms. The following issues are proposed and justified in the article: a methodical approach to the determination of the effectiveness of mechanisms of the transformation of the organizational and technical regulation of the national economy as a socially significant innovation and investment project with the calculation of the cumulative effect of the government budget and business sectors as net present value, which is defined as an increase in gross domestic product in the current and future periods as a result of the regulatory instruments' implementation. A mathematical model for calculating the total annual economic impact of regulatory tools – technical regulations and standards – is developed. The expediency of its application for identifying activities and export commodity groups for priority development and implementation of technical regulations, that will optimize the choice of regulatory instruments, is calculated.
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