Abstract
The definition and existence criterion are given for the generalized-periodic motions of a certain wide class of systems. The class contains all the systems that can be characterized by the classical periodic operator of displacement, the systems generated by the Volterra integral equations, and some others. A relationship is established between generalized-periodic motions and integral invariant sets.
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Original Russian Text © A.P. Afanas’ev, S.M. Dzyuba, 2017, published in Differentsial’nye Uravneniya, 2017, Vol. 53, No. 1, pp. 3–9.
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Afanas’ev, A.P., Dzyuba, S.M. Generalized-periodic motions of nonautonomous systems. Diff Equat 53, 1–7 (2017). https://doi.org/10.1134/S0012266117010013
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DOI: https://doi.org/10.1134/S0012266117010013