Existence of multiple solutions to a two-point boundary value system via variational method

Document Type : Research Articles

Authors

University of Bojnord

Abstract

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

Keywords