Application of the steepest descent method to solve differential inequalities
| dc.contributor.author | Fominyh, Alexander V. | |
| dc.contributor.author | Karelin, Vladimir V. | |
| dc.contributor.author | Polyakova, Lyudmila N. | |
| dc.date.accessioned | 2022-08-03T21:31:10Z | |
| dc.date.available | 2022-08-03T21:31:10Z | |
| dc.date.issued | 2017-10-04 | |
| dc.description.abstract | 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Fominyh, 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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16033 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Differential inequalities | |
| dc.subject | Gateaux gradient | |
| dc.subject | Steepest descent method | |
| dc.title | Application of the steepest descent method to solve differential inequalities | en_US |
| dc.type | Article |