Add to ORKGAbstract We develop the calculus of variations on time scales for a functional that is the composition of a certain scalar function with the delta and nabla integrals of a vector valued field. Euler-Lagrange equations, transversality conditions, and necessary optimality conditions for isoperimetric problems, on an arbitrary time scale, are proved. Interesting corollaries and examples are presented
AbstractWe prove the Euler–Lagrange delta-differential equations for problems of the calculus of var...
AbstractWe prove necessary optimality conditions of Euler–Lagrange type for generalized problems of ...
AbstractWe consider a version of the double integral calculus of variations on time scales, which in...
In this paper we consider the problem of the calculus of variations for a functional which is the co...
http://dx.doi.org/10.1109/CCDC.2010.5498972In this work we propose a new and more general approach t...
We deal with direct and inverse problems of the calculus of variations on arbitrary time scales. Fir...
We consider a general problem of the calculus of variations on time scales with a cost functional th...
The discrete, the quantum, and the continuous calculus of variations, have been recently unified and...
We prove a necessary optimality condition of the Euler-Lagrange type for variational problems on tim...
We prove Euler-Lagrange and natural boundary necessary optimality conditions for problems of the cal...
Abstract. In this note we show how one can obtain results from the nabla calculus from results on th...
In this note we show how one can obtain results from the nabla calculus from results on the delta ca...
We study problems of the calculus of variations and optimal control within the framework of time sca...
We prove necessary optimality conditions of EulerLagrange type for generalized problems of the calcu...
In this note we show how one can obtain results from the nabla calculus from results on the delta ca...
AbstractWe prove the Euler–Lagrange delta-differential equations for problems of the calculus of var...
AbstractWe prove necessary optimality conditions of Euler–Lagrange type for generalized problems of ...
AbstractWe consider a version of the double integral calculus of variations on time scales, which in...
In this paper we consider the problem of the calculus of variations for a functional which is the co...
http://dx.doi.org/10.1109/CCDC.2010.5498972In this work we propose a new and more general approach t...
We deal with direct and inverse problems of the calculus of variations on arbitrary time scales. Fir...
We consider a general problem of the calculus of variations on time scales with a cost functional th...
The discrete, the quantum, and the continuous calculus of variations, have been recently unified and...
We prove a necessary optimality condition of the Euler-Lagrange type for variational problems on tim...
We prove Euler-Lagrange and natural boundary necessary optimality conditions for problems of the cal...
Abstract. In this note we show how one can obtain results from the nabla calculus from results on th...
In this note we show how one can obtain results from the nabla calculus from results on the delta ca...
We study problems of the calculus of variations and optimal control within the framework of time sca...
We prove necessary optimality conditions of EulerLagrange type for generalized problems of the calcu...
In this note we show how one can obtain results from the nabla calculus from results on the delta ca...
AbstractWe prove the Euler–Lagrange delta-differential equations for problems of the calculus of var...
AbstractWe prove necessary optimality conditions of Euler–Lagrange type for generalized problems of ...
AbstractWe consider a version of the double integral calculus of variations on time scales, which in...