NECESSARY OPTIMALITY CONDITIONS FOR THE TERMINAL OPTIMIZATION PROBLEM OF A GOURSAT-DARBOUX SYSTEM IN THE CLASS OF FUNCTIONS WITH SUMMABLE MIXED DERIVATIVES |
| 3 | |
| 2011 |
| scientific article | 517.95 | ||
| 115-120 | Goursat-Darboux nonlinear controlled system, function with summable mixed derivative, terminal optimization problem, maximum principle |
| The maximum principle for the terminal optimization problem of a Goursat-Darboux nonlinear controlled system is proved. The right-hand side of the differential equation is a Carath?odory function. The system solutions are sought in the class of functions with summable mixed derivative. |
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