Dynamic programming and maximum principle for discrete Goursat systems (Q1190320)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Dynamic programming and maximum principle for discrete Goursat systems |
scientific article; zbMATH DE number 57293
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamic programming and maximum principle for discrete Goursat systems |
scientific article; zbMATH DE number 57293 |
Statements
Dynamic programming and maximum principle for discrete Goursat systems (English)
0 references
27 September 1992
0 references
The author studies the boundary-value problem, obtained by discretization from the Goursat problem for the equation \(u_{xy}=g(x,y,u,a)\) where \(a\) is a control function. Using dynamic programming arguments he obtains conditions which are necessary and sufficient for \(a\) to be optimal. It allows him to write down explicit formulas for the exact or approximate solution.
0 references
boundary-value problem
0 references
Goursat problem
0 references
0 references
0 references
0 references
0 references
