Abstract
For higher order ordinary differential equations, new sufficient conditions on the existence and uniqueness of periodic solutions are established. Results obtained cover the case when the right-hand side of the equation is not of a constant sign with respect to an independent variable.
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Communicated by A. Jüngel.
For the first author, the research was supported by the Georgian National Science Foundation under the project GNSF/ST06/3-002. For the second author, the research was supported by the Ministry of Education of the Czech Republic under the project MSM0021622409 and by the Academy of Sciences of the Czech Republic, Institutional Research Plan No. AV0Z10190503.
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Kiguradze, I., Lomtatidze, A. Periodic solutions of nonautonomous ordinary differential equations. Monatsh Math 159, 235–252 (2010). https://doi.org/10.1007/s00605-009-0138-7
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DOI: https://doi.org/10.1007/s00605-009-0138-7