Utilizing Pseudoinverse Matrix to Solve an Nonlinear Boundary Value Problem

Abstract

In this paper, by using the concepts of pseudoinverse matrix combining with coincidence degree theory due to Mawhin and constructing suitable operators, we study the existence of solutions for a nonlinear higher-order boundary value problem at resonance case in R^n . An illustrative example is presented at the end of the paper to illustrate the validity of our results