Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (3): 393-403.

• Articles • Previous Articles     Next Articles

On Existence Theorems of Positive Solutions for Nonlinear Singular Differential Equations

 DIAO Ceng-Qi   

  • Online:2005-07-24 Published:2005-07-24
  • Supported by:

    国家自然科学基金(10471075)、山东省自然科学基金(Y2001A03)、山东省优秀中青年科学家科研奖励

Abstract:

Suppose (i) f(t,u):(0,1)×(0,+∞)→[0,+∞) is continuous and is increasing on u; (ii) there exists a function g:[1,+∞)→ (0,+∞),g(b)0,G(t,s) is the Green function of the  problem (*). 

Key words: Singular boundary value problem, Positive solution, Necessary and sufficient condition.

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