Beschreibung:
<jats:p>In this paper, we study the existence of nontrivial solutions for the <jats:inline-formula>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="M2">
<mn>2</mn>
<mi>n</mi>
</math>
</jats:inline-formula>th Lidstone boundary value problem with a sign-changing nonlinearity. Under some conditions involving the eigenvalues of a linear operator, we use the topological degree theory to obtain our main results.</jats:p>