Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (1): 50-55.

• Articles • Previous Articles     Next Articles

Multiplicity Results for A Boundary Value Problem with Double Parameter

 GAO Li-Meng   

  1. Mathematics Department, Baotou Railway Vocational Technical College,Inner Mongolia |Baotou 014000
  • Received:2013-05-29 Revised:2014-02-10 Online:2015-02-25 Published:2015-02-25

Abstract:

The aim of this note is to establish the existence of multiple solutions for Sturm-Liouville boundary value problems.Proofs are based on variational methods as developed in the important works of   Bonanno. In particular, the existence of three solutions for a Sturm-Liouville problem, even under a perturbation of the nonlinearity, is established.

Key words: Critical points, Three solutions , Sturm-Liouville boundary value problems

CLC Number: 

  • 34B08
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