For 1 we consider the nonlocal ordinary differential equation ( 1 0 || ) () = (, ()), 0 < < 1, subject to the Dirichlet boundary conditions (0) = 0 = (1). Due to the term ( 1 0 || ds) appearing in the equation, this is a class of nonlocal differential equations. By using a novel order cone we are able to establish existence of a positive solution to this problem by means of topological fixed point theory. The preceding problem is really a special case of a more general problem that we consider - namely, the existence of a positive radially symmetric solution to the nonlocal elliptic partial differential equation ( || ) () = ( ()) , , subject to () 0, for , where is an annular region when 3