APPLICATION OF THE STEEPEST DESCENT METHOD TO SOLVE DIFFERENTIAL INEQUALITIES

作者：Fominyh Alexander V^*; karelin Vladmir V; Polyakova Lyudmila N

来源：Electronic Journal of Differential Equations, 2017, 241.

• Differential inequalities
• Gateaux gradient
• Steepest descent method

In 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.

• 出版日期2017-10-4