Pavlova M.N., Tolmacheva L.V., Nazarova E.V. ESTIMATES OFTHE SOLUTION OFTHE BALANCE MODEL CONSIDERING THE ENVIRONMENTAL FACTOR AND INVESTMENT
DOI: https://doi.org/10.15688/ek.jvolsu.2020.2.11
Marina N. Pavlova
Candidate of Sciences (Physics and Mathematics), Associate Professor, Department of Humanitarian and Natural Science Disciplines, Polytechnic Institute (Branch) of Don State Technical University in Taganrog, Petrovskaya St., 109-a, 347904 Taganrog, Russian Federation, This email address is being protected from spambots. You need JavaScript enabled to view it. , https://orcid.org/0000-0002-7656-5521
Larisa V. Tolmacheva
Candidate of Sciences (Engineering), Associate Professor, Department of Technology of Mechanical Engineering, Polytechnic Institute (Branch) of Don State Technical University in Taganrog, Petrovskaya St., 109-a, 347904 Taganrog, Russian Federation, This email address is being protected from spambots. You need JavaScript enabled to view it. , https://orcid.org/0000-0001-8723-6486
Elena V. Nazarova
Candidate of Sciences (Engineering), Associate Professor, Department of Mathematics and Bioinformatics, Azov-Black Sea Engineering Institute – Branch Don State Agrarian University of Zernograd, Lenina St., 19, 347740 Zernograd, Russian Federation, This email address is being protected from spambots. You need JavaScript enabled to view it. , https://orcid.org/0000-0003-1142-5138
Abstract. The article explains the nonlinear balance model that considers disposal and recycling of wastes and investments. The suggested model is the equilibrium prices model in which the costs of harmful wastage disposal and recycling are considered. Besides, there are nonlinear interrelations between the branches of production, which allows us to predict the release of useful products, which is necessary for the economistsanalysts who are engaged in forecasting the manufactured products. For the model which is described by a system of differential equations, the conditions are created when the system of differential equations has only one solution. The paper defines the conditions under which this model is solvable and has a nonnegative solution, if at the same time the given values can be negative. For the model the methods of creating bilateral estimated solutions are adapted; the method of improving bilateral estimation is offered. Unlike the methods of searching the precise solution, the application of the method of bilateral estimation facilitates successful solution of tasks with big dimension of the processed models, without resorting to direct integration. The results of this article can be used in the solution of specific tasks of mathematics, economics, biology and other tasks with nonlinear interrelations.
Key words: economic system, macroeconomic modeling, forecasting, wastes production, wastes recycling, monotone operators, nonlinear model, cone space, Lipschitz condition.
ESTIMATES OFTHE SOLUTION OFTHE BALANCE MODEL CONSIDERING THE ENVIRONMENTAL FACTOR AND INVESTMENT by Pavlova M.N., Tolmacheva L.V., Nazarova E.V. is licensed under a Creative Commons Attribution 4.0 International License.
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