Jonibek ShonazarovIlkhomjon Makhmudov2025-11-222025-11-222022-02-096871-6877https://dspace.kstu.uz/xmlui/handle/123456789/3203The article shows the results of developed mathematical models of typical elements of water management systems for the optimal management of water resources of large main canals with cascades of pumping stations and uses methods for system analysis of the process of water supply and water intake, modern methods for calculating the operating modes of pumping stations with long pipelines and calculating the operating modes of canal sections.othermathematical model, unsteady flow of water, main canals, optimal control problems, fundamental solution, differential equations, hydrotechnical structure.Other