what combination of initial and terminal values suffice to construct a unique solution. This generalizes the concepts of interpolation that were then current. Lagrange interpolation (more properly Warring interpolation, [15, 6]), and the most general Hermite interpolation are special cases if only two time points are considered. See [3] for the most readable account of several different interpolation schemes. The most notable thing about the problem posed by Birkhoff is that there is not always… CONTINUE READING