Global behaviour of the components of nodal solutions for Lidstone boundary value problems

Abstract

By employing bifurcation techniques, we investigate the global behaviour of the components of nodal solutions for Lidstone boundary value problems depending on higher order derivatives. Our results improve on those in the literature.

Keywords:

• bifurcation technique
• nodal solutions
• Lidstone boundary value problem
• higher order derivatives

AMS Subject Classifications::

• 34B15
• 47J05

Acknowledgements

The project was supported by NNSF of P. R. China (10571111) and the Science and Technology Development Funds of Shandong Education Committee (J08LI10).