On a Constructive Approach for Derivative-Dependent Singular Boundary Value Problems

Abstract EN

We present a constructive approach to establish existence and uniqueness of solution of singular boundary value problem -(p(x)y′(x))′=q(x)f(x,y,py′) for 0

Here p(x)>0 on (0,b) allowing p(0)=0.

Further q(x) may be allowed to have integrable discontinuity at x=0, so the problem may be doubly singular.