Geodesic
The justification of the asymptotic formulae obtained by the Isomonodromic Deformation Method
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 101-109 Cet article a éte moissonné depuis la source Math-Net.Ru

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The aim of the paper is to give the rigorous proof of the existence of the classical solutions of nonlinear ordinary differential equations of the Painlevé type. Asymptotics of the solutions by the Isomonodromic Deformation Method is obtained. 
@article{ZNSL_1989_179_a11,
     author = {A. V. Kitaev},
     title = {The justification of the asymptotic formulae obtained by the {Isomonodromic} {Deformation} {Method}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {101--109},
     year = {1989},
     volume = {179},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a11/}
}
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A. V. Kitaev. The justification of the asymptotic formulae obtained by the Isomonodromic Deformation Method. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 101-109. http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a11/