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Periodic and backset solutions of differential delay systems with self-supporting condition
Authors:Marta C. Gadotti,Plá  cido Z. Tá  boas
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
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.
Keywords:Delay differential equations   Periodicity   Backset solutions
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