DIFFERENtIAl & DIFFERENCE EqUAtIONS ANd APPlICAtIONS

DIFFERENCE EQUATIONS AND THE ELABORATION
OF COMPUTER SYSTEMS FOR MONITORING AND
FORECASTING SOCIOECONOMIC DEVELOPMENT
OF THE COUNTRY AND TERRITORIES
D. L. ANDRIANOV
A review of the author’s results concerning boundary value problems and control problems
for difference systems is given in context of economic mathematical modeling. The
role of difference models in the elaboration of computer systems for monitoring and
forecasting socioeconomic development of the country and territories is discussed.
Copyright © 2006 D. L. Andrianov. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution,
and reproduction in any medium, provided the original work is properly cited.
1. Introduction
An actual problem in the improvement of economy management methods is increasing
the scientifically grounded validity of the decisions made on all levels of economy. One
of the most important trends in its studying is connected with an on-target approach
to forecasting and controlling socioeconomic systems. This approach gives an opportunity
to discover methods of reaching strategic targets, balance aims, and their means of
achieving on the level of macroeconomic indexes, and to define attainable target values.
The basic principle of program-target planning is a principle of planning from terminal
targets to means (resources and tools of influence), which provides aims reaching.
This principle has been embodied in the decision-making support system (in what follows
- the System) elaborated under the supervision of the author [3]. In the System,
on-target control problem is considered and solved as a task of defining operating parameters
of economic policy (tax load, distribution of government investments between
regions, etc.); these parameters provide given dynamics of indexes of the socioeconomic
development (production in economic branches, ecology standards maintain, etc.). As
economic problems are so hard to solve, one can develop a solution only as a result of
joint work of specialists experienced in synthesizing particular, productive, and industrysectoral
decisions and are aware of the real content of key processes and relationships,
which take place on micro-, meso-, and macrolevels in modern economy of the Russian
Federation [1, 2, 5, 6]. The key points of the System are based on the dynamic models
of economy in the form of difference equations with some constraints (boundary conditions,
target conditions, etc.).
Hindawi Publishing Corporation
Proceedings of the Conference on Differential & Difference Equations and Applications, pp. 1231–1237