Geodesic
The Cauchy problem for Tikhonov’s system in the case of a multiple root of the degenerate equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 1, pp. 34-45
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For a system of the Tikhonov type in the case of a double root of the degenerate equation, the asymptotics of the boundary-layer solution is constructed and justified. The character of the asymptotics and the algorithm for constructing it differ substantially from the classical case when the degenerate equation has a simple root. 
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M. V. Butuzova. The Cauchy problem for Tikhonov’s system in the case of a multiple root of the degenerate equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 1, pp. 34-45. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_1_a3/

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[4] Butuzov V. F., “Ob osobennostyakh pogranichnogo sloya v singulyarno vozmuschennykh zadachakh s kratnym kornem vyrozhdennogo uravneniya”, Matem. zametki, 94:1 (2013), 68–80 | DOI