Existence and multiplicity of periodic solutions for a nonlinear resonance equation with singularities

Abstract We investigate a second-order periodic system with singular potential and resonance. Utilizing the main integral method and fixed point theorems, we establish the existence and multiplicity of periodic solutions with respect to time under certain assumptions on the unbounded or oscillatory...

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Bibliographic Details
Main Authors: Xiumei Xing, Lingling Wang, Shaoyong Lai
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-023-01799-y