Add to ORKGAbstract: We compute all power expansions of solutions to the first Painleve equation by the methods of Power Geometry. We compute also all exponential additions to the expansions. We show that solutions to the equation have not the power-logarithmic expansions, containing logarithms, and have not nonpower asymptotics.Note: Research direction:Mathematical problems and theory of numerical method
Abstract: We consider the fifth Painlev´e equation in a neighborhood of infinity. By means...
Abstract: We obtain all asymptotic expansions of solutions to the sixth Painlev'e equation...
Abstract: Here are written methods and results of power geometry which are used to resear...
Abstract: We consider an ordinary differential equation of the fourth order, which is the ...
Abstract: By means of Power Geometry, shortly described in §1, in the generic case we comp...
Abstract: By means of Power Geometry, shortly presented in §1, in the generic case we comp...
Abstract: The article is devoted to the study of the fifth Painleve equation. The aim of t...
Abstract: We consider an ordinary differential equation of a very general form. For it, we...
Abstract: We consider an ordinary differential equation (ODE) which can be written as a po...
Abstract: Using Power Geometry [1,2],in the generic case we find all expansion of solution...
Abstract: We consider the third Painlev´e equation in the case when all its four complex p...
Abstract: The article is devoted to the study of the fifth Painlev'e equation which has 4 ...
Abstract: We give the generalizations of the classical theorems of Cauchy and Cauchy-Koval...
Abstract: We consider an ordinary differential equation of a very general form. For it, we...
Abstract: We consider the sixth Painleve equation for a=0. For the case we obtain six new ...
Abstract: We consider the fifth Painlev´e equation in a neighborhood of infinity. By means...
Abstract: We obtain all asymptotic expansions of solutions to the sixth Painlev'e equation...
Abstract: Here are written methods and results of power geometry which are used to resear...
Abstract: We consider an ordinary differential equation of the fourth order, which is the ...
Abstract: By means of Power Geometry, shortly described in §1, in the generic case we comp...
Abstract: By means of Power Geometry, shortly presented in §1, in the generic case we comp...
Abstract: The article is devoted to the study of the fifth Painleve equation. The aim of t...
Abstract: We consider an ordinary differential equation of a very general form. For it, we...
Abstract: We consider an ordinary differential equation (ODE) which can be written as a po...
Abstract: Using Power Geometry [1,2],in the generic case we find all expansion of solution...
Abstract: We consider the third Painlev´e equation in the case when all its four complex p...
Abstract: The article is devoted to the study of the fifth Painlev'e equation which has 4 ...
Abstract: We give the generalizations of the classical theorems of Cauchy and Cauchy-Koval...
Abstract: We consider an ordinary differential equation of a very general form. For it, we...
Abstract: We consider the sixth Painleve equation for a=0. For the case we obtain six new ...
Abstract: We consider the fifth Painlev´e equation in a neighborhood of infinity. By means...
Abstract: We obtain all asymptotic expansions of solutions to the sixth Painlev'e equation...
Abstract: Here are written methods and results of power geometry which are used to resear...