Solvability of nonlocal boundary value problems for ordinary differential equation of higher order with a [formula omitted]-Laplacian

Abstract

Nonlocal boundary value problems at resonance for a higher order nonlinear differential equation with a p -Laplacian are considered in this paper. By using a new continuation theorem, some existence results are obtained for such boundary value problems. An explicit example is also given in this paper to illustrate the main results.