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The research studies the issues of ensuring the economic sustainability of chemical industry enterprises based on financial and economic management. This chapter explores the theoretical and methodological aspects of appraising the economic stability of industrial enterprises. The authors presented a unique view on the essence of economic stability and clarified the interpretation of the economic sustainability of enterprises from the perspective of the influence of factors of the external and internal environment. The authors devised an innovative approach to appraising the economic stability of industrial enterprises using integral differential equations derived from regression analysis. The advantage of existing methods in the proposed assessment methodology is that it is possible to see the only clear expression of the comprehensive evaluation of weight values by calculating the main internal (quantity of product sales, employee efficiency, material and technical resources, sales worth, and equity) and external factors (social elements, market demand, inflation, variations in exchange rates, infrastructure, regulation of legislation, etc.).

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