Multiple Solutions for Nonlinear Doubly Singular Three-Point Boundary Value Problems with Derivative Dependence

Abstract

We study the existence of multiple nonnegative solutions for the doubly singular three-point boundary value problem with derivative dependent data function . Here, $p\in C[\mathrm{0,1}]\cap C^1(\mathrm{0,1}]$ with $p(t)>0$ on $(\mathrm{0,1}]$ and $q(t)$ is allowed to be discontinuous at $t=0$. The fixed point theory in a cone is applied to achieve new and more general results for existence of multiple nonnegative solutions of the problem. The results are illustrated through examples.