@article{Wang2023, 
author = {Zhongqian Wang and Xuejun Zhang and Mingliang Song},
title = {Three nonnegative solutions for Sturm-Liouville BVP and application to the complete Sturm-Liouville equations},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {3},
pages = {6543-6558},
keywords = {Sturm-Liouville BVC, Lagrangian systems, critical points, index theory, complete Sturm-Liouville equations},
url = {https://www.sciopen.com/article/10.3934/math.2023330},
doi = {10.3934/math.2023330},
abstract = {The main purpose of this manuscript is to investigate the Sturm-Liouville BVP for non-autonomous Lagrangian systems. Under the suitable assumptions, we establish an existence theorem for three nonnegative solutions via Bonanno-Candito's three critical point theory. As an application in the complete Sturm-Liouville equations with Sturm-Liouville BVC, we get an existence theorem of three nonnegative solutions. Meanwhile, we give three examples to show the correctness of our results.}
}