J4 ›› 2012, Vol. 25 ›› Issue (1): 5-8.doi: 10.3976/j.issn.1002-4026.2012.01.002

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Research on derivative dependent global bifurcation problem

 LI Pan-Pan, YAN Bao-Qiang   

  1. School of Mathematics, Shandong Normal University, Jinan 250014, China
  • Received:2011-07-04 Online:2012-02-20 Published:2012-02-20

Abstract:

We address such non-linear two-point boundary value problem as -u″(t)=f(u(t),u′(t)),0k/f0,θ) with Rabinowitz bifurcation theorem. We allow the existence of a derivative subterm in the nonlinear term. This greatly expands the scope of the nonlinear term.

Key words: global bifurcation, eigenvalues, two-point boundary value

CLC Number: 

  • O175.8