Singular Nonlinear (k, n−k) Conjugate Boundary Value Problems

For 1 k n−1, solutions are obtained for the boundary value problem, (−1)n−k y(n)=f(x, y),y(i)(0)=0, 0 i k−1, andy(j)(1)=0, 0 j n−k−1, wheref(x, y) is singular aty=0. An application is made of a fixed point theorem for operators that are decreasing with respect to a cone