Existence and multiplicity of solutions for an impulsive boundary value problem with a parameter via critical point theory

  • Authors:
  • Liang Bai;Binxiang Dai

  • Affiliations:
  • -;-

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2011

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Abstract

In this paper, an impulsive boundary value problem with a parameter is considered. By using critical point theory, some criteria are obtained to guarantee that the impulsive problem has at least one solution, two solutions and infinitely many solutions when the parameter lies in different intervals. The results obtained are also valid and new for a problem discussed in the literature.