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Effective sufficient conditions for the solvability of the inverse problem of monodromy theory for systems of linear ordinary differential equations. (English. Russian original) Zbl 0810.34012

Funct. Anal. Appl. 22, No. 3, 190-200 (1988); translation from Funkts. Anal. Prilozh. 22, No. 3, 25-36 (1988).
See the review in Zbl 0669.34020.

MSC:

34A55 Inverse problems involving ordinary differential equations

Citations:

Zbl 0669.34020
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References:

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[15] A. A. Kapaev and V. Yu. Novokshenov, ”Two-parameter family of real solutions of the second Painlev? equation,” Dokl. Akad. Nauk SSSR,290, No. 3, 590-594 (1986). · Zbl 0643.35086
[16] V. Yu. Novokshenov and B. I. Suleimanov, ”Method of isomonodromic deformations and asymptotics of the second and third Painlev? transcendents,” Usp. Mat. Nauk,39, No. 4, 113-115 (1984).
[17] A. S. Focas and M. J. Ablowitz, ”On the initial value problem of the second Painlev? transcendent,” Commun. Math. Phys.,91, 381-403 (1983). · Zbl 0524.35094
[18] I. A. Lappo-Danielevskii, Application of Matrix-Functions to the Theory of Linear Systems of Ordinary Differential Equations [in Russian], GITTL, Moscow (1957).
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[20] A. S. Abdullaev, ”Theory of the second Painlev? equation,” Dokl. Akad. Nauk SSSR,273, No. 5, 1033-1036 (1983). · Zbl 0554.34032
[21] S. P. Hasting and J. B. McLeod, ”A boundary problem associated with the second Painlev? transcendent and the KdV equation,” Arch. Rat. Mech. Anal.,73, No. 1, 31-51 (1980). · Zbl 0426.34019
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