Smoothness of solutions with respect to multi-strip integral boundary conditions for n th order ordinary differential equations

摘要

Under certain conditions, solutions of the boundary value problem, y(n) = f(x; y; y0; : : : ; y(n??1)), a < x < b, y(i??1)(x1) = yi, i = 1; : : : ; n??1, y(x2)??Pm i=1 i R i i y(x) dx = yn, a < x1 < 1 < 1 < 2 < 2 < < m < m < x2 < b, are differentiated with respect to the boundary conditions.