Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 910-917.

• Articles • Previous Articles     Next Articles

Nodal Solutions of a Nonlinear Eigenvalue Problem with Indefinite Weight Function

 MA Ru-Yun, |Han-Xiao-Ling   

  1. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070
  • Received:2009-08-17 Revised:2010-11-21 Online:2011-08-25 Published:2011-08-25
  • Supported by:

    国家自然科学基金(11061030, 11026060)、甘肃省高校科研业务费和西北师范大学科技创新工程项目(03-69, 0303-23)资助

Abstract:

The authors  are concerned with the existence of nodal solutions of the indefinite weight boundary value problem
u''+rh(t)f(u)=0,   0u(0)=u(1)=0,
where C[0,1] changes sign. The proof of the  main result is based upon bifurcation techniques.

Key words: Indefinite weight, Bifurcation, Nodal solutions

CLC Number: 

  • 34B15
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