The inverse problem of the calculus of variations asks for necessary and sufficient conditions that a given system of second order ordinary differential equations should be the Euler-Lagrange equations of a regular Lagrangian function. In 1941 Douglas [3] gave an exhaustive and apparently complet
We describe a novel approach to the study of the inverse problem of the calculus of variations, whic...
We discuss two generalizations of the inverse problem of the calculus of variations, one in which a ...
summary:Given a family of curves constituting the general solution of a system of ordinary different...
summary:We deal with the problem of determining the existence and uniqueness of Lagrangians for syst...
This book provides a concise description of the current status of a fascinating scientific problem -...
The aim of the present book is to give a systematic treatment of the inverse problem of the calculus...
In this work the inverse problem of the variational calculus for systems of differential equations o...
In this work the inverse problem of the variational calculus for systems of differential equations o...
In the calculus of variations, the Euler-Lagrange operator E(L) refers to the differential operator ...
Agraïments: The second author was partly supported by the Spanish Ministry of Education through proj...
The inverse problem of the calculus of variations for second-order nonlinear and linear systems of d...
In this paper we continue analyzing the possible applications of nonstandard analysis to variational...
The inverse problem to the calculus of variation is that of determining when a given system of diffe...
The paper deals with the geometry of the tangent bundle over a differentiable manifold, and with the...
The inverse problem of Lagrangian dynamics in the multiple variational principle is to establish nec...
We describe a novel approach to the study of the inverse problem of the calculus of variations, whic...
We discuss two generalizations of the inverse problem of the calculus of variations, one in which a ...
summary:Given a family of curves constituting the general solution of a system of ordinary different...
summary:We deal with the problem of determining the existence and uniqueness of Lagrangians for syst...
This book provides a concise description of the current status of a fascinating scientific problem -...
The aim of the present book is to give a systematic treatment of the inverse problem of the calculus...
In this work the inverse problem of the variational calculus for systems of differential equations o...
In this work the inverse problem of the variational calculus for systems of differential equations o...
In the calculus of variations, the Euler-Lagrange operator E(L) refers to the differential operator ...
Agraïments: The second author was partly supported by the Spanish Ministry of Education through proj...
The inverse problem of the calculus of variations for second-order nonlinear and linear systems of d...
In this paper we continue analyzing the possible applications of nonstandard analysis to variational...
The inverse problem to the calculus of variation is that of determining when a given system of diffe...
The paper deals with the geometry of the tangent bundle over a differentiable manifold, and with the...
The inverse problem of Lagrangian dynamics in the multiple variational principle is to establish nec...
We describe a novel approach to the study of the inverse problem of the calculus of variations, whic...
We discuss two generalizations of the inverse problem of the calculus of variations, one in which a ...
summary:Given a family of curves constituting the general solution of a system of ordinary different...