Abstract
We investigate the case where conditions for the existence of a nonzero periodic solution of a system of ordinary differential equations are determined by the properties of elements of the matrix of linear approximation and the properties of nonlinear terms.
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Terekhin, M.T. Existence of Small Periodic Solutions of Nonlinear Systems of Ordinary Differential Equations. Ukrainian Mathematical Journal 53, 785–795 (2001). https://doi.org/10.1023/A:1012534418038
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DOI: https://doi.org/10.1023/A:1012534418038