부산대학교 도서관

For autonomous delay differential equations x′(t) = f(xt) we construct a continuous semiflow of continuously differentiable solution operators x0 ↦ xt, t ≥ 0, on open subsets of the Fréchet space C((−∞, 0], ℝn). For nonautonomous equations this yields a continuous process of differentiable solution operators. As an application we obtain processes which incorporate all solutions of Volterra integro-differential equations x′t=∫t0kt,shxsds.