Geodesic
Justification of formal asymptotics of solutions of ordinary differential equations with degenerate symbol
Sbornik. Mathematics, Tome 49 (1984) no. 1, pp. 151-169 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this article the authors construct a new formal asymptotic solution for a hyperbolic equation with characteristics of variable multiplicity. Bibliography: 4 titles. 
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     title = {Justification of formal asymptotics of solutions of ordinary differential equations with degenerate symbol},
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V. V. Kucherenko; Yu. V. Osipov. Justification of formal asymptotics of solutions of ordinary differential equations with degenerate symbol. Sbornik. Mathematics, Tome 49 (1984) no. 1, pp. 151-169. http://geodesic.mathdoc.fr/item/SM_1984_49_1_a9/

[1] Kucherenko V. V., Osipov Yu. V., “Asimptoticheskie resheniya obyknovennykh differentsialnykh uravnenii s vyrozhdayuschimsya simvolom”, Matem. sb., 118(160):1(5) (1982), 74–103 | MR | Zbl

[2] Koddington E. A., Levinson N., Teoriya obyknovennykh differentsialnykh uravnenii, IL, M., 1958

[3] Maslov V. P., Fedoryuk M. V., Kvaziklassicheskoe priblizhenie dlya uravnenii kvantovoi mekhaniki, Nauka, M., 1976 | MR

[4] Fedoryuk M. V., Metod perevala, Nauka, M., 1977 | MR