Existence of Three Solutions for a Class of Two-Point Boundary Value Systems

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Authors

  • Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar ,IR
  • Department of Mathematics, Islamic Azad University, Ghaemshahr Branch, Ghaemshahr ,IR

Keywords:

Three Solutions, Critical Points, Two-Point Boundary Value System.

Abstract

In this paper we prove the existence of an open interval [λ', λ"] for each λ of which a class of two-point boundary value equations depending on λ admits at least three solutions. Our main tool is a recent three critical points theorem of Averna and Bonanno.