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On solutions of a fourth-order Lidstone boundary value problem at resonance

Mariusz Jurkiewicz — 2009

Annales Polonici Mathematici

We consider a Lidstone boundary value problem in $ℝ^{k}$ 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.

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