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    Xie, Jingli and Luo, Zhiguo 2013. Multiple Solutions for a Second-Order Impulsive Sturm-Liouville Equation. Abstract and Applied Analysis, Vol. 2013, p. 1.

  • Bulletin of the Australian Mathematical Society, Volume 86, Issue 2
  • October 2012, pp. 244-253


  • YANG-WEN ZHANG (a1) and HONG-XU LI (a2)
  • DOI:
  • Published online: 16 March 2012

In this paper, we consider the Neumann boundary value problem with a parameter λ∈(0,): By using fixed point theorems in a cone, we obtain some existence, multiplicity and nonexistence results for positive solutions in terms of different values of λ. We also prove an existence and uniqueness theorem and show the continuous dependence of solutions on the parameter λ.

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This work is supported by the NNSF of China (Grant No. 11071042).

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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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