Twin of positive solutions for four point singular boundary value problem with p-Laplacian operator

In this paper, we study the multiplicity of positive solutions for the following singular four point boundary value problem with p-Laplacian: ( \phi_p (u'(t)))' + a(t) f(t, u(t)) = 0, 0 1, \alpha > 0, \beta >= 0, \gamma > 0, \delta > 0, \xi, \eta \in (0; 1) and \xi < \eta. By using monotone iterative technique and fixed point theorem, we establish the existence of two positive solutions for the above problem, one is an iterative positive solution, another is an expansion and compression positive concave solution. In addition, we also give iterative schemes for the first solution, which start off a known simple linear function.