Existence Theory for Pseudo-Symmetric Solution to p-Laplacian Differential Equations Involving Derivative

Abstract

We all-sidedly consider a three-point boundary value problem for $p$-Laplacian differential equation with nonlinear term involving derivative. Some new sufficient conditions are obtained for the existence of at least one, triple, or arbitrary odd positive pseudosymmetric solutions by using pseudosymmetric technique and fixed-point theory in cone. As an application, two examples are given to illustrate the main results.