Özet:
Under certain conditions, solutions of the nth order boundary value problem, y(n) = f(x, y, y',..., y(n--1)), y( a) -- Sigmapk = 1 aky(xik) = y1, y(i--1)(gamma) = yi, for 2 ≤ i ≤ n--1, and y(b) -- Sigma ql = 1 bly (etal) = yn, are differentiated with respect to boundary conditions, where c < a < xi1 < ... < xi p < gamma < eta1 < ... < eta q < b < d, a1,...,ap; b 1,...,bq ∈ R, and y1,...,yn ∈ R. The method involves application of Peano's Theorem for initial value problems.