We prove Euler-Lagrange and natural boundary necessary optimality conditions for problems of the calculus of variations which are given by a composition of nabla integrals on an arbitrary time scale. As an application, we get optimality conditions for the product and the quotient of nabla variational functionals. © 2010 Springer-Verlag.FCTCIDMAFEDER/POCI 201
We prove a Noether-type symmetry theorem and a DuBoisReymond necessary optimality condition for nabl...
Abstract: We give a proper fractional extension of the classical calculus of variations. Necessary o...
We study problems of the calculus of variations and optimal control within the framework of time sca...
We prove a necessary optimality condition of the Euler-Lagrange type for variational problems on tim...
http://dx.doi.org/10.1109/CCDC.2010.5498972In this work we propose a new and more general approach t...
We prove necessary optimality conditions for problems of the calculus of variations on time scales w...
Abstract We develop the calculus of variations on time scales for a functional that is the compositi...
We prove necessary optimality conditions of EulerLagrange type for generalized problems of the calcu...
AbstractWe prove necessary optimality conditions of Euler–Lagrange type for generalized problems of ...
We establish necessary optimality conditions for variational problems with an action depending on th...
In this paper we consider the problem of the calculus of variations for a functional which is the co...
We deal with direct and inverse problems of the calculus of variations on arbitrary time scales. Fir...
The fundamental problem of the calculus of variations on time scales concerns the minimization of a ...
We consider a general problem of the calculus of variations on time scales with a cost functional th...
AbstractWe prove the Euler–Lagrange delta-differential equations for problems of the calculus of var...
We prove a Noether-type symmetry theorem and a DuBoisReymond necessary optimality condition for nabl...
Abstract: We give a proper fractional extension of the classical calculus of variations. Necessary o...
We study problems of the calculus of variations and optimal control within the framework of time sca...
We prove a necessary optimality condition of the Euler-Lagrange type for variational problems on tim...
http://dx.doi.org/10.1109/CCDC.2010.5498972In this work we propose a new and more general approach t...
We prove necessary optimality conditions for problems of the calculus of variations on time scales w...
Abstract We develop the calculus of variations on time scales for a functional that is the compositi...
We prove necessary optimality conditions of EulerLagrange type for generalized problems of the calcu...
AbstractWe prove necessary optimality conditions of Euler–Lagrange type for generalized problems of ...
We establish necessary optimality conditions for variational problems with an action depending on th...
In this paper we consider the problem of the calculus of variations for a functional which is the co...
We deal with direct and inverse problems of the calculus of variations on arbitrary time scales. Fir...
The fundamental problem of the calculus of variations on time scales concerns the minimization of a ...
We consider a general problem of the calculus of variations on time scales with a cost functional th...
AbstractWe prove the Euler–Lagrange delta-differential equations for problems of the calculus of var...
We prove a Noether-type symmetry theorem and a DuBoisReymond necessary optimality condition for nabl...
Abstract: We give a proper fractional extension of the classical calculus of variations. Necessary o...
We study problems of the calculus of variations and optimal control within the framework of time sca...
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