Mots-clés : Sobolev type equation.
@article{VCHGU_2010_12_a5,
author = {M. V. Plekhanova and A. F. Islamova},
title = {A problem with mixed control for a class of linear {Sobolev} type equations},
journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
pages = {49--58},
year = {2010},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a5/}
}
TY - JOUR AU - M. V. Plekhanova AU - A. F. Islamova TI - A problem with mixed control for a class of linear Sobolev type equations JO - Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika PY - 2010 SP - 49 EP - 58 IS - 12 UR - http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a5/ LA - ru ID - VCHGU_2010_12_a5 ER -
%0 Journal Article %A M. V. Plekhanova %A A. F. Islamova %T A problem with mixed control for a class of linear Sobolev type equations %J Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika %D 2010 %P 49-58 %N 12 %U http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a5/ %G ru %F VCHGU_2010_12_a5
M. V. Plekhanova; A. F. Islamova. A problem with mixed control for a class of linear Sobolev type equations. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 12 (2010), pp. 49-58. http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a5/
[1] Zh.-L. Lions, Optimalnoe upravlenie sistemami, opisyvaemymi uravneniyami s chastnymi proizvodnymi, Mir, M., 1972
[2] V. E. Fedorov, “Vyrozhdennye silno nepreryvnye polugruppy operatorov”, Algebra i analiz, 12:3 (2000), 173–200
[3] G. A. Sviridyuk, A. A. Efremov, “Zadacha optimalnogo upravleniya dlya lineinykh uravnenii tipa Soboleva”, Izv. vuzov. Matematika, 1996, no. 12, 75–83
[4] G. A. Sviridyuk, A. A. Efremov, “Optimalnoe upravlenie odnim klassom lineinykh vyrozhdennykh uravnenii”, DAN, 364:3 (1999), 323–325
[5] M. V. Plekhanova, V. E. Fedorov, “Zadacha optimalnogo upravleniya dlya odnogo klassa vyrozhdennykh uravnenii”, Izv. RAN. Teoriya i sistemy upravleniya, 2004, no. 5, 40–44
[6] V. E. Fedorov, M. V. Plekhanova, “Optimalnoe upravlenie lineinymi uravneniyami sobolevskogo tipa”, Differents. uravneniya, 40:11 (2004), 1548–1556
[7] M. V. Plekhanova, V. E. Fedorov, “Zadachi startovogo upravleniya dlya lineinykh uravnenii sobolevskogo tipa”, Vestnik YuUrGU. Ser. Matematika. Fizika. Khimiya, 2005, no. 6, 43–49
[8] M. V. Plekhanova, V. E. Fedorov, “Kriterii optimalnosti v zadache upravleniya dlya lineinogo uravneniya sobolevskogo tipa”, Izv. RAN. Teoriya i sistemy upravleniya, 2007, no. 2, 37–44
[9] A. V. Fursikov, Optimalnoe upravlenie raspredelennymi sistemami. Teoriya i prilozheniya, Nauchnaya kniga, Novosibirsk, 1999
[10] P. I. Plotnikov, A. V. Klepacheva, “Uravneniya fazovogo polya i gradientnye potoki marginalnykh funktsii”, Sib. mat. zhurn., 42:3 (2001), 651–669
[11] V. E. Fedorov, A. V. Urazaeva, “Obratnaya zadacha dlya odnogo klassa singulyarnykh lineinykh operatorno-differentsialnykh uravnenii”, Tr. Voronezhsk. zimn. mat. shk., VGU, Voronezh, 2004, 161–172