Voir la notice de l'article provenant de la source Math-Net.Ru
@article{TIMB_2006_14_1_a4, author = {V. I. Gromak and M. S. Nialepka}, title = {On power expansions of solutions of the second {Painleve} hierarchy}, journal = {Trudy Instituta matematiki}, pages = {36--43}, publisher = {mathdoc}, volume = {14}, number = {1}, year = {2006}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TIMB_2006_14_1_a4/} }
V. I. Gromak; M. S. Nialepka. On power expansions of solutions of the second Painleve hierarchy. Trudy Instituta matematiki, Tome 14 (2006) no. 1, pp. 36-43. http://geodesic.mathdoc.fr/item/TIMB_2006_14_1_a4/
[1] Airault H., “Rational Solutions of Painleve Equations”, Stud. Appl. Math., 61 (1979), 31–53 | MR | Zbl
[2] Gromak V.I., “Nelineinye evolyutsionnye uravneniya i uravneniya $P$-tipa”, Differents. uravneniya, 20:12 (1984), 2042–2048 | MR | Zbl
[3] Martynov I.P., “O differentsialnykh uravneniyakh s nepodvizhnymi kriticheskimi osobymi tochkami”, Differents. uravneniya, 9:10 (1973), 1780–1791 | MR | Zbl
[4] Kudryashov N.A., “The first and the second Painleve equations of the higher order and some relations between them”, Phys. Lett. A, 224 (1997), 353–360 | DOI | MR
[5] Gromak V.I., Laine I., Shimomura SH., Painleve differential equations in the complex plane, De Gruyter Studies in Mathematics, Berlin; New-York, 2002, 28 pp. | MR
[6] Bryuno A.D., Stepennaya geometriya v algebraicheskikh i differentsialnykh uravneniyakh, Fizmatlit, M., 1998 | MR | Zbl
[7] Bryuno A.D., Zavgorodnyaya Yu.V., Stepennye ryady i nestepennye asimptotiki reshenii vtorogo uravneniya Penleve, Preprint In-ta prikladnoi matematiki im. M.V. Keldysha RAN: 48, M., 2003
[8] Wasow V.R., Asymptotic expansions for the ordinary differential equations, John Wiley and Sons, New York; London; Sydney, 1965, 75 pp. | MR | Zbl
[9] Yezhou Li, Yuzan He., “On analytic properties of higher analogues of the second Painleve equation”, J. Math. Phys., 43:2 (2002), 1106–1115 | DOI | MR | Zbl