Existence-uniqueness results for a class of singular boundary value problems arising in physiology

In this paper we establish existence-uniqueness of solution of a class of singular boundary value problem -(p(x)y′(x))′=q(x)f(x,y)-(p(x)y′(x))′=q(x)f(x,y) for 00p(x)>0 in (0,b)(0,b) (ii) p∈C1(0,r)p∈C1(0,r) and for some r>br>b (iii) xp′(x)/p(x)xp′(x)/p(x) is analytic in {z:|z|0q(x)>0 in (0,b)(0,b) (ii) q∈L1(0,b)q∈L1(0,b) and for some r>br>b (iii) x2q(x)/p(x)x2q(x)/p(x) is analytic in {z:|z|