Existence of positive solutions for a p-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 (Phi(p)(x'))' +g(t) f (t,x) t , x ) = 0 , t is an element of (0,1), x ( 0 ) - ax ' ( 0 ) = a[x], x ( 1 )+ bx ' ( 1 ) = beta[x], where Phi(p)(x) p ( x ) = | x | (p - 2 )x is a one dimensional p-Laplacian operator with p> > 1, , a, , b are real constants and a, , beta are the Riemann-Stieltjes integrals a[ x ] = integral( 1)(0) Z x ( t ) dA ( t ) , beta [x] = integral( 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.