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

Abstract

We present a constructive approach to establish existence and uniqueness of solution of singular boundary value problem $-(p(x)y^{\prime }(x){)}^{\prime }=q(x)f(x,y,p{y}^{\prime })$ for 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.