TY - JOUR AU - Dalbono, Francesca PY - 2007/09/01 Y2 - 2024/03/29 TI - Multiplicity of solutions for asymptotically linear $n$-th order boundary value problems JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 30 IS - 1 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2007.019 SP - 67 - 85 AB - In this paper we investigate existence and multiplicity of solutions, with prescribed nodal properties, to a two-point boundary value problem of asymptotically linear $n$-th order equations. The proof follows a shooting approach and it is based on the weighted eigenvalue theory for linear $n$-th order boundary value problems. ER -