Abstract
In this article we present an approximation of the minimizing function of the functional
J [X ] = ∫T0 F (t, X(t), X(t − τ), Ẋ(t)) dt
by approximating X(t) with Cosine Fourier series expansions Xn(t). We give conditions under which
J [Xn(t)] → J [X(t)] cuando n → ∞.
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