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THE ROLE OF DIFFERENTIAL EQUATIONS IN OPTIMAL CONTROL THEORY

Ulug'bek SattarovTashkent Institute of Irrigation and Agricultural Mechanization EngineersAkmaljon AbdullaevTashkent Institute of Irrigation and Agricultural Mechanization Engineers
Open MINDrepository2025uz
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Abstract

Abstract.The article examines the relationship between optimal control theory and differentialequations in economic analysis. The article discusses methods for modeling dynamiceconomic systems using differential equations, developing optimal management decisionsfor them, and applying mathematical solutions to practical economic problems. The articlealso discusses the application of the theory of differential equations in economics, explainsthe solution of some economic problems using this theory using examples, and describesmethods for constructing and solving their differential models.Keywords: differential equation, differential model, economics, practical issues.

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