Abstract
In this paper, we study the existence of positive periodic solutions for a class of non-autonomous second-order ordinary differential equations
where \(\alpha \in {\mathbb {R}} \) is a constant, n is a finite positive integer, and a(t), b(t), c(t) are continuous periodic functions. By using Mawhin’s continuation theorem, we prove the existence and multiplicity of positive periodic solutions for these equations.
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Communicated by Adrian Constantin.
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Foundation term: This work is sponsored by the NNSF of China (No. 11561063)
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Han, X., Yang, H. Existence and multiplicity of periodic solutions for a class of second-order ordinary differential equations. Monatsh Math 193, 829–843 (2020). https://doi.org/10.1007/s00605-020-01465-w
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DOI: https://doi.org/10.1007/s00605-020-01465-w
Keywords
- Second-order ordinary differential equations
- Positive periodic solutions
- Mawhin’s continuation theorem