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Existence and multiplicity results for nodal solutions are obtained for the fourth-order boundary value problem (BVP) u(4)(t)=f(t,u(t)), 0<t<1, u(0)=u(1)=uÃ¢Â€Â²Ã¢Â€Â²(0)=uÃ¢Â€Â²Ã¢Â€Â²(1)=0, where f:[0,1]ÃƒÂ—RÃ¢Â†Â’R is continuous. The critical point theory and admissible invariant sets are employed to discuss this problem

Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets