Solvability of nonlocal boundary value problems for ordinary differential equations of higher order Original Research Article

In this paper, we prove existence results for a nonlocal boundary value problem concerning a higher order differential equation. Our method is based upon the coincidence degree theory of Mawhin. The interesting point is that the degree of some variables among x0,x1,…,xn−1 in the function f(t,x0,x1,…,xn−1) are allowable to be greater than 1. Some examples are given to illustrate the main results.