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.
|Number of pages||8|
|Journal||Electronic Journal of Differential Equations|
|State||Published - 4 Oct 2017|
Scopus subject areas
- Differential inequalities
- Gateaux gradient
- Steepest descent metho