Abstract: By means of two symmetries of the equation P6 from base expansions of solutions in the case a· b ≠ 0 (Preprint No 62 of the Keldysh Institute of Applied Mathematics of RAS, 2007) we obtain all other expansions of solutions near singular points of equation x=0 and x=∞ existed in this case. Asymptotic expansions of solutions to the equation P6 near its singular point x=1 computed by means its third symmetry from expansions of solutions near other its singular point x=0.Note: Research direction:Mathematical problems and theory of numerical method
Preface; I Plane Power Geometry; 1 Plane Power Geometry for One ODE and P1 - P6; 1.1 Statement of th...
Preface; I Plane Power Geometry; 1 Plane Power Geometry for One ODE and P1 - P6; 1.1 Statement of th...
Abstract: In § 1, we consider a polynomial in three variables near singular point,where th...
Abstract: We obtain all asymptotic expansions of solutions to the sixth Painlev'e equation...
Abstract: Here are the history of origin of the problem, short review of works, formulatin...
Abstract: We consider the sixth Painlev'e equation in the case a,b ≠ 0. By the methods of ...
Abstract: We consider the sixth Painleve equation for a=0. For the case we obtain six new ...
Abstract: To the sixth Painleve equation near three its singular points for various value...
Abstract: By means of Power Geometry, shortly described in §1, in the generic case we comp...
Abstract: Using Power Geometry [1,2],in the generic case we find all expansion of solution...
Abstract: Here are written methods and results of power geometry which are used to resear...
Abstract: Here we consider the sixth Painlev'e equation for all values of four its complex...
Abstract: The purpose of this work is to clarify the question: can solutions to the sixth ...
We study the general sixth Painleve ́ equation, develop, and justify the existence of several groups...
We study the radially symmetric blow-up solutions of the nonlinear Schrödinger equation. We give a m...
Preface; I Plane Power Geometry; 1 Plane Power Geometry for One ODE and P1 - P6; 1.1 Statement of th...
Preface; I Plane Power Geometry; 1 Plane Power Geometry for One ODE and P1 - P6; 1.1 Statement of th...
Abstract: In § 1, we consider a polynomial in three variables near singular point,where th...
Abstract: We obtain all asymptotic expansions of solutions to the sixth Painlev'e equation...
Abstract: Here are the history of origin of the problem, short review of works, formulatin...
Abstract: We consider the sixth Painlev'e equation in the case a,b ≠ 0. By the methods of ...
Abstract: We consider the sixth Painleve equation for a=0. For the case we obtain six new ...
Abstract: To the sixth Painleve equation near three its singular points for various value...
Abstract: By means of Power Geometry, shortly described in §1, in the generic case we comp...
Abstract: Using Power Geometry [1,2],in the generic case we find all expansion of solution...
Abstract: Here are written methods and results of power geometry which are used to resear...
Abstract: Here we consider the sixth Painlev'e equation for all values of four its complex...
Abstract: The purpose of this work is to clarify the question: can solutions to the sixth ...
We study the general sixth Painleve ́ equation, develop, and justify the existence of several groups...
We study the radially symmetric blow-up solutions of the nonlinear Schrödinger equation. We give a m...
Preface; I Plane Power Geometry; 1 Plane Power Geometry for One ODE and P1 - P6; 1.1 Statement of th...
Preface; I Plane Power Geometry; 1 Plane Power Geometry for One ODE and P1 - P6; 1.1 Statement of th...
Abstract: In § 1, we consider a polynomial in three variables near singular point,where th...