Existence-uniqueness results for a class of singular boundary value problems-II

AbstractIn 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) for 0<x⩽b and y(0)=a, α1y(b)+β1y′(b)=γ1, where p(x) satisfies (i) p(x)>0 in (0,b), (ii) p(x)∈C1(0,r), and for some r>b, (iii) xp′(x)p(x) is analytic in {z:|z|<r} and q(x) satisfies (i) q(x)>0 in (0,b), (ii) q(x)∈L1(0,b) and for some r>b, (iii) x2q(x)p(x) is analytic in {z:|z|