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.

Original languageEnglish
Article number241
JournalElectronic Journal of Differential Equations
Publication statusPublished - 4 Oct 2017


Scopus subject areas

  • Analysis

Cite this