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, Tome 39 (2012) no. 1, pp. 80-81.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{IIMI_2012_39_1_a36,
     author = {I. V. Lisachenko and V. I. Sumin},
     title = {On singular controls in the sense of the maximum principle for terminal optimization problem connected with {Goursat--Darboux} system},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {80--81},
     publisher = {mathdoc},
     volume = {39},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a36/}
}
TY  - JOUR
AU  - I. V. Lisachenko
AU  - V. I. Sumin
TI  - On singular controls in the sense of the maximum principle for terminal optimization problem connected with Goursat--Darboux system
JO  - Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
PY  - 2012
SP  - 80
EP  - 81
VL  - 39
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a36/
LA  - ru
ID  - IIMI_2012_39_1_a36
ER  - 
%0 Journal Article
%A I. V. Lisachenko
%A V. I. Sumin
%T On singular controls in the sense of the maximum principle for terminal optimization problem connected with Goursat--Darboux system
%J Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
%D 2012
%P 80-81
%V 39
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a36/
%G ru
%F IIMI_2012_39_1_a36
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, Tome 39 (2012) no. 1, pp. 80-81. http://geodesic.mathdoc.fr/item/IIMI_2012_39_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