We deal with the problem of determining the existence and uniqueness of Lagrangians for systems of n second order ordinary differential equations. A number of recent theorems are presented, using exterior differential systems theory (EDS). In particular, we indicate how to generalise Jesse Douglas’s famous solution for n = 2. We then examine a new class of solutions in arbitrary dimension n and give some non-trivial examples in dimension 3
The inverse problem to the calculus of variation is that of determining when a given system of diffe...
This book provides a concise description of the current status of a fascinating scientific problem -...
summary:Given a family of curves constituting the general solution of a system of ordinary different...
We deal with the problem of determining the existence and uniqueness of Lagrangians for systems of n...
The inverse problem of the calculus of variations asks for necessary and sufficient conditions that ...
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...
A novel approach to a coordinate-free analysis of the multiplier question in the inverse problem of ...
Agraïments: The second author was partly supported by the Spanish Ministry of Education through proj...
In this work the inverse problem of the variational calculus for systems of differential equations o...
Submission note: A thesis submitted in total fulfilment of the requirements for the degree of Doctor...
We study second order differential equations considering positive homogeneity of a general degree of...
The inverse problem of the calculus of variations for second-order nonlinear and linear systems of d...
AbstractA paper of Anderson and Thompson demonstrates that the inverse problem in the calculus of va...
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...
This book provides a concise description of the current status of a fascinating scientific problem -...
summary:Given a family of curves constituting the general solution of a system of ordinary different...
We deal with the problem of determining the existence and uniqueness of Lagrangians for systems of n...
The inverse problem of the calculus of variations asks for necessary and sufficient conditions that ...
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...
A novel approach to a coordinate-free analysis of the multiplier question in the inverse problem of ...
Agraïments: The second author was partly supported by the Spanish Ministry of Education through proj...
In this work the inverse problem of the variational calculus for systems of differential equations o...
Submission note: A thesis submitted in total fulfilment of the requirements for the degree of Doctor...
We study second order differential equations considering positive homogeneity of a general degree of...
The inverse problem of the calculus of variations for second-order nonlinear and linear systems of d...
AbstractA paper of Anderson and Thompson demonstrates that the inverse problem in the calculus of va...
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...
This book provides a concise description of the current status of a fascinating scientific problem -...
summary:Given a family of curves constituting the general solution of a system of ordinary different...
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