The maximum principle for terminal optimization problem connected with Goursat–Darboux system in the class of functions having summable mixed derivatives

I. V. Lisachenko   ; V. I. Sumin

Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2011), pp. 52-67

Résumé

The maximum principle in the terminal optimization problem for general nonlinear Goursat–Darboux system is proved. The right part of differential equation is Caratheodory function. We consider the case when a mixed derivative of system solution is summable function.

Détail

Keywords: nonlinear Goursat–Darboux system, solutions having summable mixed derivatives, terminal optimization problem, maximum principle.

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