Geodesic
On singular controls in the sense of the maximum principle for terminal optimization problem connected with Goursat–Darboux system
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 80-81 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 80-81. http://geodesic.mathdoc.fr/item/IIMI_2012_1_a36/

[1] Sumin V.I., “Silnoe vyrozhdenie osobykh upravlenii v raspredelennykh zadachakh optimizatsii”, DAN SSSR, 320:2 (1991), 295–299 | Zbl

[2] Sumin V.I., “Ob osobykh upravleniyakh potochechnogo printsipa maksimuma v raspredelennykh zadachakh optimizatsii”, Vestnik Udmurtskogo universiteta. Matematika. Mekhanika. Kompyuternye nauki, 2010, no. 3, 70–80

[3] Lisachenko I.V., Sumin V.I., “Nelineinaya upravlyaemaya zadacha Gursa–Darbu: usloviya sokhraneniya globalnoi razreshimosti”, Differentsialnye uravneniya, 47:6 (2011), 858–870 | MR | Zbl

[4] Lisachenko I.V., Sumin V.I., “Printsip maksimuma dlya terminalnoi zadachi optimizatsii sistemy Gursa–Darbu v klasse funktsii s summiruemoi smeshannoi proizvodnoi”, Vestnik Udmurtskogo universiteta. Matematika. Mekhanika. Kompyuternye nauki, 2011, no. 2, 52–67 | MR