Geodesic
Asymptotic solutions of ordinary differential equations with degenerate symbol
Sbornik. Mathematics, Tome 46 (1983) no. 1, pp. 75-104 
V. V. Kucherenko; Yu. V. Osipov. Asymptotic solutions of ordinary differential equations with degenerate symbol. Sbornik. Mathematics, Tome 46 (1983) no. 1, pp. 75-104. http://geodesic.mathdoc.fr/item/SM_1983_46_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Formal asymptotic solutions which are uniform with respect to the parameter are constructed for ordinary differential equations with symbols depending smoothly on the parameter and having a nondegenerate stationary point. Bibliography: 10 titles.

[1] Langer R. E., “The asimptotic solutions of certain linear ordinary differential equations of the second order”, Trans. Amer. Math. Soc., 36 (1934), 90–106 | DOI | MR | Zbl

[2] Kurant R., Uravneniya s chastnymi proizvodnymi, Mir, M., 1964 | MR

[3] Maslov V. P., Teoriya vozmuschenii i asimptoticheskie metody, MGU, M., 1965

[4] Maslov V. P., Operatornye metody, Nauka, M., 1973 | MR

[5] Kheding D., Vvedenie v metod fazovykh integralov, Mir, M., 1965

[6] Dzheffris G., Svirls B., Metody matematicheskoi fiziki, T. 3, Mir, M., 1970

[7] Erdeii A., Asimptoticheskie razlozheniya, Fizmatgiz, M., 1962

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

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

[10] Kucherenko V. V., “Asimptotika resheniya zadachi Koshi dlya uravneniya s kompleksnymi kharakteristikami”, Sovremennye problemy matematiki, 8, VINITI, M., 1977, 41136 | Zbl