Geodesic
On the correctness of the solution of the problem of the control of a source function
Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 2, pp. 3-11 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

An inverse problem is studied of a controlled transformation of a substance from one state into another. There are derived formulas for the solution, sufficient conditions for correctness and examples of concrete solutions. 
@article{SJIM_2006_9_2_a0,
     author = {N. B. Aiupova},
     title = {On the correctness of the solution of the problem of the control of a~source function},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {3--11},
     year = {2006},
     volume = {9},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2006_9_2_a0/}
}
TY  - JOUR
AU  - N. B. Aiupova
TI  - On the correctness of the solution of the problem of the control of a source function
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2006
SP  - 3
EP  - 11
VL  - 9
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SJIM_2006_9_2_a0/
LA  - ru
ID  - SJIM_2006_9_2_a0
ER  - 
%0 Journal Article
%A N. B. Aiupova
%T On the correctness of the solution of the problem of the control of a source function
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2006
%P 3-11
%V 9
%N 2
%U http://geodesic.mathdoc.fr/item/SJIM_2006_9_2_a0/
%G ru
%F SJIM_2006_9_2_a0
N. B. Aiupova. On the correctness of the solution of the problem of the control of a source function. Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 2, pp. 3-11. http://geodesic.mathdoc.fr/item/SJIM_2006_9_2_a0/

[1] Anikonov Yu. E., “Formuly v odnomernoi obratnoi zadache dlya evolyutsionnogo uravneniya”, Dokl. AN SSSR, 334:3 (1994), 263–264 | MR | Zbl

[2] Anikonov Yu. E., Bubnov B. A., “Voprosy upravleniya i obratnye zadachi”, Dokl. AN SSSR, 304:2 (1989), 309–312 | MR | Zbl

[3] Anikonov Yu. E., Vishnevskii M. P., “Formuly v obratnoi zadache dlya evolyutsionnogo uravneniya”, Sib. mat. zhurn., 37:5 (1996), 963–976 | MR | Zbl

[4] Ayupova N. B. Golubyatnikov V. P., “O formalnykh resheniyakh obratnoi zadachi dlya odnogo klassa evolyutsionnykh uravnenii”, Algebra, geometriya, analiz i matematicheskaya fizika, 10 Sibirskaya shkola, 14–22 avgusta 1996 g., Izd-vo In-ta matematiki, Novosibirsk, 1997, 21–29 | MR | Zbl

[5] Ayupova N. B. Golubyatnikov V. P., “O formalnykh resheniyakh mnogomernykh evolyutsionnykh uravnenii”, Mat. trudy, 1:2 (1998), 3–23 | MR | Zbl

[6] Orlovskii D. G., “K zadache opredeleniya parametra evolyutsionnogo uravneniya”, Differents. uravneniya, 26:9 (1990), 1614–1621 | MR

[7] Prilepko A. I., “Izbrannye voprosy v obratnykh zadachakh matematicheskoi fiziki”, Uslovno-korrektnye zadachi matematicheskoi fiziki i analiza, Nauka, Novosibirsk, 1992, 151–162 | MR

[8] Tikhonov I. V., Eidelman Yu. S., “Voprosy korrektnosti pryamykh i obratnykh zadach dlya evolyutsionnogo uravneniya spetsialnogo vida”, Mat. zametki, 56:2 (1994), 99–113 | MR | Zbl

[9] Pyatkov S. G., Abasheeva N. L., “Razreshimost kraevykh zadach dlya operatorno-differentsialnykh uravnenii smeshannogo tipa”, Sib. mat. zhurn., 41:6 (2000), 1419–1435 | MR | Zbl