Abstract
We consider a scalar linear second-order ordinary differential equation whose coefficient of the second derivative may change its sign when vanishing. For this equation, we obtain sufficient conditions for the existence of a periodic solution in the case of arbitrary periodic inhomogeneity.
References
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Additional information
Ternopol Academy of National Economy, Ternopol. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 8, pp. 1137–1142, August, 1997.
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Eremenko, V.A. On periodic solutions of linear degenerate second-order ordinary differential equations. Ukr Math J 49, 1279–1285 (1997). https://doi.org/10.1007/BF02487553
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DOI: https://doi.org/10.1007/BF02487553