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

Abstract: Nonlocal boundary value problems at resonance for a higher order nonlinear differential equation with a -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. [Copyright &y& Elsevier]