Solvability of multipoint boundary value problems at resonance for higher-order ordinary differential equations

Abstract: Let f : [0, 1]× Rn → R be a continuous function and e ∈ L 1[0, 1]. Let βj (1 ≤ j ≤ m − 2) ∈ R, 0 < η 1 < η 2 < … < η m−2 < 1 be given. This paper is concerned with the existence of solutions for the following nth-order multipoint boundary value problems at resonance case and Some existence results are obtained by using the coincidence degree theory of Mawhin. [Copyright &y& Elsevier]