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

We study the existence of multiple nonnegative solutions for the doubly singular three-point boundary value problem with derivative dependent data function -(p(t)y′(t))′=q(t)f(t,y(t),p(t)y′(t)),0<t<1,y(0)=0,y(1)=α1y(η). Here, p∈C[0,1]∩C1(0,1] with p(t)>0 on (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.

Abstract licence: CC BY

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