Geodesic
On the Cauchy Problem for a Class of Degenerate Differential Equations with Lipschitz Right-Hand Side
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 78-81.

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This note deals with an application of the fixed point theorem for multivalued contraction mappings to the study of degenerate differential equations with Lipschitz right-hand side and with degeneration determined by a closed surjective linear operator.
Keywords: closed surjective linear operator, operator equation, Cauchy problem, degenerate differential equation. 
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B. D. Gel'man. On the Cauchy Problem for a Class of Degenerate Differential Equations with Lipschitz Right-Hand Side. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 78-81. http://geodesic.mathdoc.fr/item/FAA_2008_42_3_a8/

[1] A. D. Ioffe, V. M. Tikhomirov, Teoriya ekstremalnykh zadach, Nauka, M., 1974 | MR | Zbl

[2] B. D. Gelman, Matem. zametki, 78:2 (2005), 212–222 | DOI | MR

[3] S. G. Krein, Lineinye uravneniya v banakhovom prostranstve, Nauka, M., 1971 | MR