Existence of positive solutions for a -Laplacian equation with applications to Hematopoiesis

This paper is concerned with the existence of at least one positive solution for a boundary value problem (bvp), with p-laplacian, of the form (φp(x 0 ))0 +g(t)f(t, x) = 0, t ∈ (0,1), x(0)−ax 0 (0) = α[x], x(1) +bx0 (1) = β[x], where φp(x) = |x| p−2 x is a one dimensional p-laplacian operator with p > 1,a,b are real constants and α,β are the riemann-stieltjes integrals α[x] = z 1 0 x(t)da(t), β[x] = z 1 0 x(t)db(t), with a and b are functions of bounded variation. a homotopy version of krasnosel’skii fixed point theorem is used to prove our results. keywords: fixed point, positive solution, p-lapl