Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (4): 554-563.

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 Positive Solutions of Singular Boundary Value Problems of Differential Equations

 LIU Li-Shan, SUN Pan   

  • Online:2005-08-25 Published:2005-08-25
  • Supported by:

    国家自然科学基金(10471075)和山东省自然科学基金(Y2003A01,O2BS119)资助

Abstract:

The authors  consider  the existence of  positive solutions for the singular boundary value problem using fixed point  theory in cones, the authors   derive an explicit interval for λ such that for any λ in  this  interval,  the existence of at  least one positive solution  to the boundary value problem is guaranteed.  The results significantly  extend and improve many known results even for non singular cases

Key words: Cone; , Fixed point theory; , Singular bounbdry , value , p roblem; Positive solutions

CLC Number: 

  • 34B15
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