Summary
An iterative method is presented which starting from a lower or from an upper periodic solution, provides a monotone sequence converging to a periodic solution of (1). With some restrictions on the growth off, the method extends to functional differential equations of type (1′). Two numerical examples with an “a posteriori” error analysis are given.
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Bellen, A. Monotone methods for periodic solutions of second order scalar functional differential equations. Numer. Math. 42, 15–30 (1983). https://doi.org/10.1007/BF01400915
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DOI: https://doi.org/10.1007/BF01400915