چندگانگی جواب ها برای یک دستگاه مقدار مرزی دونقطه ای با روش تغییراتی

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:

Three solutions , critical points , two-point boundary value system