Existence and Monotone Iteration of Concave Positive Symmetric Solutions for a Three-Point Second-Order Boundary Value Problems With Integral Boundary Conditions

Abstract

In this article, we make use of the monotone iterative technique to verify the existence of concave symmetric positive solutions of a second-order three-point boundary value problem with integral boundary conditions. The interesting point here is that the nonlinear term f depends on the first-order derivative explicitly. An example which supports our result is also indicated.