Global Behavior of the Components for the Second Order [inline-graphic not available: see fulltext]-Point Boundary Value Problems

We consider the nonlinear eigenvalue problems [inline-graphic not available: see fulltext], [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], [inline-graphic not available: see fulltext], and [inline-graphic not available: see fulltext] for [inline-graphic not available: see fulltext], with [inline-graphic not available: see fulltext]; [inline-graphic not available: see fulltext]; [inline-graphic not available: see fulltext]. There exist two constants [inline-graphic not available: see fulltext] such that [inline-graphic not available: see fulltext] and [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext]. Using the global bifurcation techniques, we study the global behavior of the components of nodal solutions of the above problems.