AbstractWe deal with the absolute equivalence of one-dimensional variational problems. The term “absolute” means that the underlying space is not given in advance: the transformations may be quite general and need not preserve the order of derivatives. Then the use of jets of infinite order is advisable and an appropriately modified E. Cartan's moving frame method proves to be very effective
This clear and concise textbook provides a rigorous introduction to the calculus of variations, depe...
We investigate the algorithmic approximation of ordinary differential equations having a known conse...
We consider the gradient flow of a one-homogeneous functional, whose dual involves the derivative of...
summary:Elements of general theory of infinitely prolonged underdetermined systems of ordinary diffe...
A family of variational principles is obtained for the 1-D inviscid flow by Ji-Huan He’s semi-inv...
summary:We review the approach to the calculus of variations using Ehresmann's theory of jets. We de...
We give a general framework under which the minimizers of a variational problem inherit the symmetry...
We give a general framework under which the minimizers of a variational problem inherit the symmetry...
AbstractAn exposition has been given of the notions of canonical and involutory transformation in th...
From its origins in the minimization of integral functionals, the notion of 'variations' has evolved...
summary:The theory of variational bicomplexes is a natural geometrical setting for the calculus of v...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio...
summary:The Routh reduction of cyclic variables in the Lagrange function and the Jacobi-Maupertuis p...
Existence results for a class of one-dimensional abstract variational problems with volume constrain...
In this paper, we study, in details the derivation of the variational formulation corresponding to f...
This clear and concise textbook provides a rigorous introduction to the calculus of variations, depe...
We investigate the algorithmic approximation of ordinary differential equations having a known conse...
We consider the gradient flow of a one-homogeneous functional, whose dual involves the derivative of...
summary:Elements of general theory of infinitely prolonged underdetermined systems of ordinary diffe...
A family of variational principles is obtained for the 1-D inviscid flow by Ji-Huan He’s semi-inv...
summary:We review the approach to the calculus of variations using Ehresmann's theory of jets. We de...
We give a general framework under which the minimizers of a variational problem inherit the symmetry...
We give a general framework under which the minimizers of a variational problem inherit the symmetry...
AbstractAn exposition has been given of the notions of canonical and involutory transformation in th...
From its origins in the minimization of integral functionals, the notion of 'variations' has evolved...
summary:The theory of variational bicomplexes is a natural geometrical setting for the calculus of v...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio...
summary:The Routh reduction of cyclic variables in the Lagrange function and the Jacobi-Maupertuis p...
Existence results for a class of one-dimensional abstract variational problems with volume constrain...
In this paper, we study, in details the derivation of the variational formulation corresponding to f...
This clear and concise textbook provides a rigorous introduction to the calculus of variations, depe...
We investigate the algorithmic approximation of ordinary differential equations having a known conse...
We consider the gradient flow of a one-homogeneous functional, whose dual involves the derivative of...
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