Multiplicity results for a class of fourth order semipositone m-point boundary value problems

Abstract

Using bifurcation techniques, we investigate the existence of multiple solutions for a class of fourth order semipositone m-point boundary value problems. Our results improve those in the literature.

Keywords:

• bifurcation technique
• global behaviour
• m-point boundary value problems
• bifurcation point

AMS Subject Classifications:

• 34B10
• 34G20

Acknowledgements

The authors wish to thank the referees for their comments and valuable suggestions. This Project was supported by NNSF of PR China (No. 10871120), NSF of Shandong (No. ZR2009AM006), the Key Project of Chinese Ministry of Education (No. 209072) and the Science & Technology Development Funds of Shandong Education Committee (No. J08LI10).