I. V. Lisachenko, V. I. Sumin, “On singular controls in the sense of the maximum principle for terminal optimization problem connected with Goursat–Darboux system”, Izv. IMI UdGU, 2012, Issue 1(39),Pages <nobr>80

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On singular controls in the sense of the maximum principle for terminal optimization problem connected with Goursat–Darboux system

I. V. Lisachenko^a, V. I. Sumin^b

^a Nizhny Novgorod State Technical University
^b State University of Nizhni Novgorod

Abstract: The terminal optimization problem for nonlinear Goursat–Darboux system is considered. The characteristics of singular controls in the sense of the maximum principle are discussed.

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

UDC: 517.95

MSC: 93C23

Received: 15.02.2012