TY: JOUR
T1 - Euler-Lagrange equations for composition functionals in calculus of variations on time scales
A1 - Malinowska, A.B.
A1 - Torres, D.F.M.
N2 - In this paper we consider the problem of the calculus of variations for a functional which is the composition of a certain scalar function H with the delta integral of a vector valued field f, i.e., of the form H (int;ba f(t,x?(t); ?(t))?t). Euler-Lagrange equations, natural boundary conditions for such problems as well as a necessary optimality condition for isoperimetric problems, on a general time scale, are given. A number of corollaries are obtained, and several examples illustrating the new results are discussed in detail.
UR - https://ria.ua.pt/handle/10773/4073
Y1 - 2011
PB - American Institute of Mathematical Sciences (AIMS)