Periodic and backset solutions of differential delay systems with self-supporting condition |
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Authors: | Marta C. Gadotti,Plá cido Z. Tá boas |
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Affiliation: | a Universidade de São Paulo, FFCLRP, Av. Bandeirantes 3900, Bloco P1, Ribeirão Preto, SP 14040-901, Brazil b Universidade de São Paulo, ICMC, Caixa Postal 668, São Carlos, SP 13560-970, Brazil |
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Abstract: | We prove that a planar delay differential equation subjected to a feedback condition and a self-supporting impulsive condition has periodic solutions. It also can have backset solutions, that encircle the origin opposing the orientation induced by the feedback condition. |
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Keywords: | Delay differential equations Periodicity Backset solutions |
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