Jrad, Fahd2016-01-082016-01-082001http://hdl.handle.net/11693/18587Ankara : The Department of Mathematics and the Institute of Engineering and Sciences of Bilkent Univ., 2001.Thesis (Ph.D.) -- Bilkent University, 2001.Includes bibliographical references leaves 93-94Recently there has been a considerable interest in obtaining higher order ordinary differential equations having the Painleve property. In this thesis, starting from the first, the second and the third Painleve transcendents polynomial and non-polynomial type higher order ordinary differential equations having the Painleve property have been obtained by using the singular point analysis.95 leavesEnglishinfo:eu-repo/semantics/openAccessPainleve propertymovable singularityresonancescompatibility conditionsQC20.7.D5 J73 2001Painleve equations.Mathematical physics.Thesis