Add to ORKGWe study the general sixth Painleve ́ equation, develop, and justify the existence of several groups of asymptotics of its real solutions. Our methods also justify the differentiability of the asymptotics. Particular attention is paid to the solutions between 0 and 1. We find the asymptotics of all real solutions between 0 and 1 of the sixth Painleve ́ equation as x → +∞. Copyright © 2006 Hindawi Publishing Corporation. All rights reserved. 1
Abstract: The article is devoted to the study of the fifth Painlev'e equation which has 4 ...
We compute the monodromy group associated with the solutions of the sixth Painlev´e equation with a...
Abstract: Here are written methods and results of power geometry which are used to resear...
Abstract: Here are the history of origin of the problem, short review of works, formulatin...
Abstract: We obtain all asymptotic expansions of solutions to the sixth Painlev'e equation...
Abstract: The purpose of this work is to clarify the question: can solutions to the sixth ...
Abstract: We consider the sixth Painleve equation for a=0. For the case we obtain six new ...
Abstract: Here we consider the sixth Painlev'e equation for all values of four its complex...
There are several existing ways in developing the asymptotics of the Painlevé transcendents. But it ...
Abstract: By means of Power Geometry, shortly described in §1, in the generic case we comp...
Abstract: We consider the sixth Painlev'e equation in the case a,b ≠ 0. By the methods of ...
Abstract: The article is devoted to the study of the fifth Painleve equation. The aim of t...
We compute the monodromy group associated with the solutions of the sixth Painlev´e equation with a...
For the Painleve' 6 transcendents, we provide a unitary description of the critical behaviours, th...
Abstract: To the sixth Painleve equation near three its singular points for various value...
Abstract: The article is devoted to the study of the fifth Painlev'e equation which has 4 ...
We compute the monodromy group associated with the solutions of the sixth Painlev´e equation with a...
Abstract: Here are written methods and results of power geometry which are used to resear...
Abstract: Here are the history of origin of the problem, short review of works, formulatin...
Abstract: We obtain all asymptotic expansions of solutions to the sixth Painlev'e equation...
Abstract: The purpose of this work is to clarify the question: can solutions to the sixth ...
Abstract: We consider the sixth Painleve equation for a=0. For the case we obtain six new ...
Abstract: Here we consider the sixth Painlev'e equation for all values of four its complex...
There are several existing ways in developing the asymptotics of the Painlevé transcendents. But it ...
Abstract: By means of Power Geometry, shortly described in §1, in the generic case we comp...
Abstract: We consider the sixth Painlev'e equation in the case a,b ≠ 0. By the methods of ...
Abstract: The article is devoted to the study of the fifth Painleve equation. The aim of t...
We compute the monodromy group associated with the solutions of the sixth Painlev´e equation with a...
For the Painleve' 6 transcendents, we provide a unitary description of the critical behaviours, th...
Abstract: To the sixth Painleve equation near three its singular points for various value...
Abstract: The article is devoted to the study of the fifth Painlev'e equation which has 4 ...
We compute the monodromy group associated with the solutions of the sixth Painlev´e equation with a...
Abstract: Here are written methods and results of power geometry which are used to resear...