Published online by Cambridge University Press: 24 October 2008
The equations to be considered are of the form
where Xk is to be determined as a function of t, is its ith derivative with respect to t, Fj is a given analytic function of t,
a given constant, and i = 0, 1, …, n; j, k = 1,…, m, and they represent a system of simultaneous linear differential equations of order n in m functions Xk (k = 1,…, m).