Application of the steepest descent method to solve differential inequalities

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 t...

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Bibliographic Details

Published in:	Electronic Journal of Differential Equations
Main Authors:	Alexander V. Fominyh, Vladimir V. Karelin, Lyudmila N. Polyakova
Format:	Article
Language:	English
Published:	Texas State University 2017-10-01
Subjects:	Differential inequalities Gateaux gradient steepest descent method
Online Access:	http://ejde.math.txstate.edu/Volumes/2017/241/abstr.html