This email address is being protected from spambots. You need JavaScript enabled to view it.

+7 (4912) 72-03-73

Интернет-портал РГРТУ: http://rsreu.ru

UDC 517.9

RESEARCH OF CONTROLLABLE MATHEMATICAL MODEL TO DEVELOP THE ECONOMIC SYSTEM WITH FUNCTIONAL OF CONSUMPTION

M. T. Teryokhin, PhD (physical and mathematical sciences), full professor, Ryazan State University named
for S.A. Yesenin, Ryazan; This email address is being protected from spambots. You need JavaScript enabled to view it.
Y. E. Belova, undergraduate student (physical and mathematical sciences), Ryazan State University named for
S.A. Yesenin, Ryazan; This email address is being protected from spambots. You need JavaScript enabled to view it.

The method of creation and methods of studying of controllable mathematical model of multisector economic system which efficiency of development is estimated by functionality of consumption are offered. The possibility of an economic system to allocate parts of funds for accomplishment of charitable and social programs is researched. The aims of work are determination of a condition in case of which accomplishment a necessary consumption level in case of change at least of one of amounts such as initial or investment, stays invariable, an economic system can provide in advance set consumption level; finding of border of amounts of means within which the economic system can render assistance in accomplishment of programs. As a result of researches a number of theorems as about conditions under which the economic system can provide accomplishment of programs and about conditions under which the economic system can't do this are proved. The specific mathematical model of an economic system is rather in detail researched, dependence between initial amount and the volume of investment in case of which the economic system can provide in advance set consumption level is determined, exact borders of amounts of means within which participation of an economic system in accomplishment of charitable
and social programs is possible are established.

Key words: consumption level, the amount of productive fund, the vector of consumption, initial volume, the volume of investments, fundamental matrix, rank of a matrix, minor, operator.

Скачать статью