Three nonnegative solutions for Sturm-Liouville BVP and application to the complete Sturm-Liouville equations

AIMS Mathematics

article

Zhongqian Wang¹  Xuejun Zhang¹  Mingliang Song¹ 

[1] School of Mathematical Sciences, Jiangsu Second Normal University

关键词: Sturm-Liouville BVC;    Lagrangian systems;    critical points;    index theory;    complete Sturm-Liouville equations;   

DOI  :  10.3934/math.2023330

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY