In this paper we consider a hierarchy of the first Painlevé equation's higher order analogues. For these equations three types of power expansions, i.e. holomorphic, polar and asymptotic are found. As an example the equation of the fourth order is considered. First Published Online: 14 Oct 201
This book is the first comprehensive treatment of Painlevé differential equations in the complex pla...
Abstract: We consider the third Painlev´e equation in the case when all its four complex p...
Abstract: We consider the complicated and exotic asymptotic expansions of solutions to a p...
In this paper we consider a hierarchy of the first Painlevé equation's higher order analogues. For t...
AbstractIt is well known that, due to Boutroux, the first Painlevé equation admits solutions charact...
Abstract: We consider an ordinary differential equation of the fourth order, which is the ...
Abstract: We consider an ordinary differential equation (ODE) which can be written as a po...
Abstract: The article is devoted to the study of the fifth Painlev'e equation which has 4 ...
Abstract: We consider an ordinary differential equation of a very general form. For it, we...
Abstract: By means of Power Geometry, shortly presented in §1, in the generic case we comp...
Abstract: We consider an ordinary differential equation of a very general form. For it, we...
Abstract: The article is devoted to the study of the fifth Painleve equation. The aim of t...
Abstract: We obtain all asymptotic expansions of solutions to the sixth Painlev'e equation...
AbstractIt is well known that, due to Boutroux, the first Painlevé equation admits solutions charact...
Abstract: Here we consider the sixth Painlev'e equation for all values of four its complex...
This book is the first comprehensive treatment of Painlevé differential equations in the complex pla...
Abstract: We consider the third Painlev´e equation in the case when all its four complex p...
Abstract: We consider the complicated and exotic asymptotic expansions of solutions to a p...
In this paper we consider a hierarchy of the first Painlevé equation's higher order analogues. For t...
AbstractIt is well known that, due to Boutroux, the first Painlevé equation admits solutions charact...
Abstract: We consider an ordinary differential equation of the fourth order, which is the ...
Abstract: We consider an ordinary differential equation (ODE) which can be written as a po...
Abstract: The article is devoted to the study of the fifth Painlev'e equation which has 4 ...
Abstract: We consider an ordinary differential equation of a very general form. For it, we...
Abstract: By means of Power Geometry, shortly presented in §1, in the generic case we comp...
Abstract: We consider an ordinary differential equation of a very general form. For it, we...
Abstract: The article is devoted to the study of the fifth Painleve equation. The aim of t...
Abstract: We obtain all asymptotic expansions of solutions to the sixth Painlev'e equation...
AbstractIt is well known that, due to Boutroux, the first Painlevé equation admits solutions charact...
Abstract: Here we consider the sixth Painlev'e equation for all values of four its complex...
This book is the first comprehensive treatment of Painlevé differential equations in the complex pla...
Abstract: We consider the third Painlev´e equation in the case when all its four complex p...
Abstract: We consider the complicated and exotic asymptotic expansions of solutions to a p...
DOI
Add to ORKG