2017
Том 69
№ 9

All Issues

On periodic solutions of linear degenerate second-order ordinary differential equations

Er’omenko V. O.

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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.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 8, pp 1279-1285.

Citation Example: Er’omenko V. O. On periodic solutions of linear degenerate second-order ordinary differential equations // Ukr. Mat. Zh. - 1997. - 49, № 8. - pp. 1137–1142.

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