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

] 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 three critical points theorem of Averna and Bonanno.

Keywords