We apply the method of Jacobi Last Multiplier to the fifty second-order ordinary differential equations of Painleve type as given in Ince in order to obtain a Lagrangian and consequently solve the inverse problem of Calculus of Variations for those equations. The easiness and straightforwardness of Jacobi's method is underlined
AbstractThis article is a survey on recent studies on special solutions of the discrete Painlevé equ...
Cataloged from PDF version of article.A method to obtain the Schlesinger transformations for Painlev...
AbstractThe six Painlevé equations (PI–PVI) were first discovered about a hundred years ago by Painl...
AbstractWe use a formula derived almost seventy years ago by Madhav Rao connecting the Jacobi Last M...
In this work we establish the relation between the Jacobi last multiplier, which is a geometrical to...
Cataloged from PDF version of article.One-to-one correspondence between the Painlevé I-VI equations ...
In this paper some open problems for Painlevé equations are discussed. In particular the following ...
summary:We will deal with a new geometrical interpretation of the classical Legendre and Jacobi cond...
summary:Given a family of curves constituting the general solution of a system of ordinary different...
The inverse monodromy method for studying the Riemann-Hilbert problem associated with classical Pain...
We present a variant of the classical integration by parts to introduce a new type of Taylor series ...
The multi-indexed Laguerre and Jacobi polynomials form a complete set of orthogonal polynomials. The...
The Riemann-Hilbert approach for the equations PIII(D-6) and PIII(D-7) is studied in detail, involvi...
Constants of motion, Lagrangians and Hamiltonians admitted by a family of relevant nonlinear oscilla...
The algorithmic method introduced by Fokas and Ablowitz to investigate the transformation properties...
AbstractThis article is a survey on recent studies on special solutions of the discrete Painlevé equ...
Cataloged from PDF version of article.A method to obtain the Schlesinger transformations for Painlev...
AbstractThe six Painlevé equations (PI–PVI) were first discovered about a hundred years ago by Painl...
AbstractWe use a formula derived almost seventy years ago by Madhav Rao connecting the Jacobi Last M...
In this work we establish the relation between the Jacobi last multiplier, which is a geometrical to...
Cataloged from PDF version of article.One-to-one correspondence between the Painlevé I-VI equations ...
In this paper some open problems for Painlevé equations are discussed. In particular the following ...
summary:We will deal with a new geometrical interpretation of the classical Legendre and Jacobi cond...
summary:Given a family of curves constituting the general solution of a system of ordinary different...
The inverse monodromy method for studying the Riemann-Hilbert problem associated with classical Pain...
We present a variant of the classical integration by parts to introduce a new type of Taylor series ...
The multi-indexed Laguerre and Jacobi polynomials form a complete set of orthogonal polynomials. The...
The Riemann-Hilbert approach for the equations PIII(D-6) and PIII(D-7) is studied in detail, involvi...
Constants of motion, Lagrangians and Hamiltonians admitted by a family of relevant nonlinear oscilla...
The algorithmic method introduced by Fokas and Ablowitz to investigate the transformation properties...
AbstractThis article is a survey on recent studies on special solutions of the discrete Painlevé equ...
Cataloged from PDF version of article.A method to obtain the Schlesinger transformations for Painlev...
AbstractThe six Painlevé equations (PI–PVI) were first discovered about a hundred years ago by Painl...
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