Geodesic
On a~weakened Cauchy problem for a~linear differential inclusion
Matematičeskie zametki, Tome 79 (2006) no. 4, pp. 483-487.

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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. 
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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