We show that the functional I(x)=∫0 Tg(t,x(t))dt+∫0 Th(t,x′(t))dtattains a minimum under the condition that g be concave in x.
Cellina, A., Colombo, G. (1990). On a classical problem of the calculus of variations without convexity assumptions. ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE, 7(2), 97-106 [10.1016/S0294-1449(16)30306-7].
On a classical problem of the calculus of variations without convexity assumptions
CELLINA, ARRIGO;
1990
Abstract
We show that the functional I(x)=∫0 Tg(t,x(t))dt+∫0 Th(t,x′(t))dtattains a minimum under the condition that g be concave in x.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
