BUSINESS INFORM №10-2013

The title and content

ABSTRACTS AND INFORMATION ABOUT AUTHORS

21

Section: Economic and Mathematical Modeling
UDC 517.977
Naumova M. A.
Model of Optimisation of Investment Expenditures (p. 118 - 122)
The market economy provides such conditions when all enterprises are connected, to a certain degree, with the investment activity and with making investment decisions. Each enterprise has limited financial resources, available for investing. This results in appearance of the task of optimisation of investment decisions. The modern micro- and macro-economic theories use such a powerful method as mathematic modelling. Using mathematics allows allocation and formal description of the most significant properties of economic processes and studying these properties and making conclusions that would be adequate to the studied process. That is why, it becomes topical to search for methods of study and calculation of mathematical models of complex processes, dynamics of which is described by non-linear systems. The article considers the model of management of investment decisions with the Cobb–Douglas production function. It provides a mathematical task setting for maximisation of the sum of profit. Using the principle of maximum, the article obtains the system of non-linear differential equations. It conducts a quality analysis of the system with the help of its phase portrait near points of equilibrium.
Keywords: investments, profit, optimal management, non-linear system, phase portrait
Formulae: 24. Bibl.: 9.

Naumova Maryna A. – Candidate of Sciences (Physics and Mathematics), Associate Professor, Associate Professor, Department of Mathematics and Mathematical Methods in Economics, Vasyl’ Stus Donetsk National University (21 600-richchia Str., Vinnytsia, 21021, Ukraine)
Email: [email protected]

Article is written in Russian
Downloads/views: 258

Download article (pdf) -

Reference to this article:
Naumova, Maryna A. (2013) “Model of Optimisation of Investment Expenditures.” Business Inform 10:118–122.

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 |

FOR AUTHORS

License Contract

Conditions of Publication

Article Requirements

Regulations on Peer-Reviewing

Publication Contract

Current Issue

Frequently asked questions

INFORMATION

The Plan of Scientific Conferences

OUR PARTNERS

Journal «The Problems of Economy»

The site and its metadata are licensed under CC BY-SA.

Write to webmaster