Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (2): 344-352.

• Articles • Previous Articles     Next Articles

Positve Solutions of Fourth Order Singular Superlinear p-Laplacian BVPs

 WANG Yan-Ling, SHI Guo-Liang   

  1. (Department of Mathematics, |Tianjin University, Tianjin 300072)
  • Received:2007-12-25 Revised:2009-02-15 Online:2009-04-25 Published:2009-04-25
  • Supported by:

    国家自然科学基金(10671141)资助

Abstract:

Necessary and sufficient conditions for existence of positive solutions of fourth order singular superlinear p-Laplacian BVPs are established by employing the fixed point theorem in cones. The conditions involve   the integral of the nonlinear terms.

Key words: Positive solution, Fourth order differential equation, Boundary value problem, Necessary and sufficient condition

CLC Number: 

  • 34B15
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