Geodesic
Non-integrability by quadratures and formal asymptotic solutions of the Riccati equation
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 69 (2014) no. 6, pp. 1123-1125 Cet article a éte moissonné depuis la source Math-Net.Ru

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     author = {S. A. Stepin},
     title = {Non-integrability by quadratures and formal asymptotic solutions of the {Riccati} equation},
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     url = {http://geodesic.mathdoc.fr/item/RM_2014_69_6_a4/}
}
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S. A. Stepin. Non-integrability by quadratures and formal asymptotic solutions of the Riccati equation. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 69 (2014) no. 6, pp. 1123-1125. http://geodesic.mathdoc.fr/item/RM_2014_69_6_a4/

[1] I. Kaplanskii, Vvedenie v differentsialnuyu algebru, IL, M., 1959 | MR | MR | Zbl | Zbl

[2] J. J. Morales-Ruiz, Differential Galois theory and non-integrability of Hamiltonian systems, Progr. Math., 179, Birkhäuser, Basel, 1999 | DOI | MR | Zbl

[3] S. L. Ziglin, UMN, 60:4(364) (2005), 213–214 | DOI | DOI | MR | Zbl

[4] M. V. Fedoryuk, Asimptoticheskie metody dlya lineinykh obyknovennykh differentsialnykh uravnenii, Nauka, M., 1983 | DOI | MR | MR | Zbl | Zbl

[5] J. J. Kovacic, J. Symbolic Comput., 2:1 (1986), 3–43 | DOI | MR | Zbl

[6] V. Vazov, Asimptoticheskie razlozheniya reshenii obyknovennykh differentsialnykh uravnenii, Mir, M., 1968 | MR | Zbl | Zbl

[7] A. G. Khovanskii, UMN, 59:4(358) (2004), 69–146 | DOI | DOI | MR | Zbl