On solutions of a fourth-order Lidstone boundary value problem at resonance
Volume 95 / 2009
Annales Polonici Mathematici 95 (2009), 1-16
MSC: Primary 34B15; Secondary 35P30.
DOI: 10.4064/ap95-1-1
Abstract
We consider a Lidstone boundary value problem in $\mathbb{R}^{k}$ at resonance. We prove the existence of a solution under the assumption that the nonlinear part is a Carathéodory map and conditions similar to those of Landesman–Lazer are satisfied.
