Geodesic
On a weakened Cauchy problem for a linear differential inclusion
Matematičeskie zametki, Tome 79 (2006) no. 4, pp. 483-487 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

For a differential inclusion $\dot x(t)\in\mathscr A x(t)$ with linear relation $\mathscr A$, we establish the connection between a weakened and the ordinary Cauchy problem. We prove the uniqueness of and the representation for the weakened solution. 
@article{MZM_2006_79_4_a0,
     author = {M. S. Bichegkuev},
     title = {On a~weakened {Cauchy} problem for a~linear differential inclusion},
     journal = {Matemati\v{c}eskie zametki},
     pages = {483--487},
     year = {2006},
     volume = {79},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_4_a0/}
}
TY  - JOUR
AU  - M. S. Bichegkuev
TI  - On a weakened Cauchy problem for a linear differential inclusion
JO  - Matematičeskie zametki
PY  - 2006
SP  - 483
EP  - 487
VL  - 79
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MZM_2006_79_4_a0/
LA  - ru
ID  - MZM_2006_79_4_a0
ER  - 
%0 Journal Article
%A M. S. Bichegkuev
%T On a weakened Cauchy problem for a linear differential inclusion
%J Matematičeskie zametki
%D 2006
%P 483-487
%V 79
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_2006_79_4_a0/
%G ru
%F MZM_2006_79_4_a0
M. S. Bichegkuev. On a weakened Cauchy problem for a linear differential inclusion. Matematičeskie zametki, Tome 79 (2006) no. 4, pp. 483-487. http://geodesic.mathdoc.fr/item/MZM_2006_79_4_a0/

[1] Cross R., Multivalued Linear Operators, M. Dekker, New York, 1988 | MR

[2] Baskakov A. G., Chernyshov K. I., “Spektralnyi analiz lineinykh otnoshenii i vyrozhdennye polugruppy operatorov”, Matem. sb., 193:11 (2002), 3–42 | MR | Zbl

[3] Krein S. G., Lineinye differentsialnye uravneniya v banakhovom prostranstve, Nauka, M., 1967

[4] Titchmarsh E., Vvedenie v teoriyu integralov Fure, Gostekhizdat, M., 1948