Fominyh, Alexander V.Karelin, Vladimir V.Polyakova, Lyudmila N.2022-08-032022-08-032017-10-04Fominyh, A. V., Karelin, V. V., & Polyakova, L. N. (2017). Application of the steepest descent method to solve differential inequalities. <i>Electronic Journal of Differential Equations, 2017</i>(241), pp. 1-8.1072-6691https://hdl.handle.net/10877/16033In this article we consider the problem of finding the solution of a system of differential inequalities. We reduce the original problem to the unconstrained minimization of a functional. We find the Gateaux gradient for this functional, and then obtain nucessary and sufficient conditions for the existence of a minimum. Based on these conditions we apply the steepest descent method, and present a numerical implementation of the method.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalDifferential inequalitiesGateaux gradientSteepest descent methodArticle