Sorry, we do not have enough data to show an influence graph for this author.

#### Filter Results:

- Full text PDF available (3)

#### Publication Year

2008

2015

- This year (0)
- Last 5 years (1)
- Last 10 years (4)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- R R Gontsov, I V Vyugin
- 2009

We study movable singularities of Garnier systems (and Painlevé VI equations) using the connection of the latter with isomonodromic deformations of Fuchsian systems. Questions on the existence of solutions for some inverse monodromy problems are also considered.

- R R Gontsov, I V Vyugin
- 2008

We consider the generalized Riemann-Hilbert problem for linear differential equations with irregular singularities. After recalling the formulation of the problem in terms of vector bundles over the Riemann sphere, we give some estimates for the unique non-minimal Poincaré rank of the system and the number of apparent singularities of the scalar equation… (More)

- R R Gontsov
- 2009

We study movable singularities of Garnier systems using the connection of the latter with Schlesinger isomonodromic deformations of Fuchsian systems. §1. What is Painlevé VI equations and Garnier systems? We start with the Painlevé VI (PVI) equation du dt2 = 1 2 ( 1 u + 1 u− 1 + 1 u− t )( du dt )2 − ( 1 t + 1 t− 1 + 1 u− t ) du dt + + u(u− 1)(u− t) t2(t−… (More)

- R. R. Gontsov, I. V. Goryuchkina
- Asymptotic Analysis
- 2015

- ‹
- 1
- ›