Sakka, Ayman2016-01-082016-01-081995http://hdl.handle.net/11693/17710Ankara : Department of Mathematics and Institute of Engineering and Sciences, Bilkent University, 1995.Thesis (Master's) -- Bilkent University, 1995.Includes bibliographical references leaves 26.In this thesis, we studied the Schlesinger transformations of Painleve VI equation. We showed that Painleve VI equation admits Schlesinger transformations which relate a given solution of Paileve VI to solution of Painleve VI but with different values of the parameters. Using these transformations we obtained the corresponding Bäcklund transformations for Painleve VI. Also, we showed that the Schlesinger transformations and the corresponding Bäcklund transformations break down if and only if Painleve VI has certain one-parameter family of solutions.vi, 26 leavesEnglishinfo:eu-repo/semantics/openAccessPainleve Equations,Monodromy DataSchlesinger TransformationsRiemann-Hilbert ProblemQA371 .S25 1995Painleve--Equations.Thesis