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Periodic solutions of a second order differential equation involving a symmetrical restoring term

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Abstract

A second order equation is considered where the restoring term is subject to the symmetry condition of Ezeilo and Tejumola. This condition is shown to imply linearity. As a consequence the existence of periodic solutions can be proved in an extremely simple way.

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References

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Authors and Affiliations

  1. Institut für Mathematik, Ruhr-Universität Bochum, Universitätsstr. 150, Geb. NA, D-4630, Bochum 1, (Germania)

    R. Reissig

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  1. R. Reissig
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Reissig, R. Periodic solutions of a second order differential equation involving a symmetrical restoring term. Rend. Circ. Mat. Palermo 30, 139–147 (1981). https://doi.org/10.1007/BF02845133

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  • DOI: https://doi.org/10.1007/BF02845133

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