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<p/> <p>Existence and multiplicity results for nodal solutions are obtained for the fourth-order boundary value problem (BVP) <inline-formula> <graphic file="1687-2770-2008-403761-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-403761-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-403761-i3.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2008-403761-i4.gif"/></inline-formula> is continuous. The critical point theory and admissible invariant sets are employed to discuss this problem.</p>