Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (4): 929-939.

• Articles • Previous Articles     Next Articles

Existence of Multiple Positive Solutions for General Sturm-Liouville Boundary Value Problems on the Half-line

  

  1. (1.Department of Mathematics, Qufu Normal University, Shandong Qufu 273165, 2.Department of Mathematics and Information Science, Binzhou University, Shandong Binzhou 256603)
  • Received:2007-10-11 Revised:2008-12-21 Online:2009-08-25 Published:2009-08-25
  • Supported by:

    国家自然科学基金(10671167, 10871116)资助

Abstract:

In this paper, by using the Leggett-Williams fixed point theorem, the authors discuss the existence of at least three solutions for a class of second order boundary value problems on the half-line as follows 
 

(p(t)x'(t))'+Φ(t) f (t, x(t), x'(t))=0, t ∈ [0, +∞),
α1x(0)-β1limt →0+ p(t) x'(t)=a1,
α2limt →+∞ x'(t)+β2limt →+∞ p(t) x'(t)=a2

Key words: Positive solution, Fixed point, Second order boundary value problem

CLC Number: 

  • 34B15
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