Nodal Solutions for a Class of Fourth-Order Two-Point Boundary Value Problems

We consider the fourth-order two-point boundary value problem [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext] is a parameter, [inline-graphic not available: see fulltext] is given constant, [inline-graphic not available: see fulltext] with [inline-graphic not available: see fulltext] on any subinterval of [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] satisfies [inline-graphic not available: see fulltext] for all [inline-graphic not available: see fulltext], and [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] for some [inline-graphic not available: see fulltext]. By using disconjugate operator theory and bifurcation techniques, we establish existence and multiplicity results of nodal solutions for the above problem.