Positive periodic solutions for a second-order damped differential equation with an indefinite singularity
We prove the existence of at least one positive periodic solution for a second-order damped nonlinear differential equation with an indefinite singularity by assuming the corresponding linear equation have a positive Green's function. Our results are applicable to a weak singularity as well as a strong singularity. The proof is based on Leray–Schauder alternative principle.
Authors
- Qinghong Zhang (ORCID: https://orcid.org/0000-0002-9697-8622)
- Xueliang Zhou (ORCID: https://orcid.org/0000-0001-6973-3112)
Institutions
- Xinjiang Industry Technical College (CN)
- Xinjiang University of Finance and Economics (CN)
Publication Details
- Journal
- Electronic journal of qualitative theory of differential equations
- Published
- 2025-01-01
- DOI
- https://doi.org/10.14232/ejqtde.2025.1.16
- Primary Topic
- Differential Equations and Numerical Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00