Geodesic
Isomonodromy deformations of equations with irregular singularities
Sbornik. Mathematics, Tome 71 (1992) no. 2, pp. 463-479 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Necessary and sufficient conditions are obtained for a deformation to be isomonodromic for higher-order systems and equations in a neighborhood of an irregular singular point in the case when all formal solutions are subnormal series. Examples are considered. 
@article{SM_1992_71_2_a12,
     author = {M. V. Fedoryuk},
     title = {Isomonodromy deformations of equations with irregular singularities},
     journal = {Sbornik. Mathematics},
     pages = {463--479},
     year = {1992},
     volume = {71},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1992_71_2_a12/}
}
TY  - JOUR
AU  - M. V. Fedoryuk
TI  - Isomonodromy deformations of equations with irregular singularities
JO  - Sbornik. Mathematics
PY  - 1992
SP  - 463
EP  - 479
VL  - 71
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SM_1992_71_2_a12/
LA  - en
ID  - SM_1992_71_2_a12
ER  - 
%0 Journal Article
%A M. V. Fedoryuk
%T Isomonodromy deformations of equations with irregular singularities
%J Sbornik. Mathematics
%D 1992
%P 463-479
%V 71
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1992_71_2_a12/
%G en
%F SM_1992_71_2_a12
M. V. Fedoryuk. Isomonodromy deformations of equations with irregular singularities. Sbornik. Mathematics, Tome 71 (1992) no. 2, pp. 463-479. http://geodesic.mathdoc.fr/item/SM_1992_71_2_a12/

[1] Schlesinger L., “Zur Theorie der linearen Differentialgleichung in Anschless an des Riemannsche Problem”, Hourn. für Math., 193 (1912), 138

[2] Garnier R., “Sur les equations differentielles du troisieme ordre dont l'integrale generale est uniforme et sur une classe d'equations nouvelles d'ordre superieur dont l'integrale generale a ses points critiques fixes”, Ann. Scient. Ecole Norm. Sup., 29 (1912), 1–126 | MR | Zbl

[3] Ablovits M. Dzh., Segyur G., Solitony i obratnaya zadacha teorii rasseyaniya, Mir, M., 1985

[4] Its A. R., Novokshenov V. Yu., The isomonodromic deformation method in the theory of Painleve equations, Lecture Notes in Math., 1191, Springer, Berlin-Heidelberg-New York-Tokyo, 1986 | MR | Zbl

[5] Ueno K., “Monodromy preserving deformations of linear differential equations with irregular singular points”, Proc. Japan Acad. Ser. A, 1980, no. 8, 97–102 | DOI | MR | Zbl

[6] Ains E. L., Obyknovennye differentsialnye uravneniya, ONTI, Kharkov, 1939

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

[8] Sibuya Y., “Stokes phenomena”, Bull. Amer. Math. Soc., 83 (1977), 1075–1077 | DOI | MR | Zbl

[9] Balser W., “Solutions of first level of meromorphic differential equations”, Proc. of Edinburgh Math. Soc., 25 (1982), 183–207 | DOI | MR | Zbl

[10] Sato M., Dzimbo M., Miva T., Golonomnye kvantovye polya, Mir, M., 1983 | MR