## Abstract

We prove that the iterates of certain periodic nonexpansive operators in t_{1} uniformly converge to zero in l_{∞} norm. As a by-product we show that, for any solution x(t) of the equation x(t)= - sign(*(t - 1))+f(x(t)), t≥0, x| _{[-1,0]} ∈ C[-l,0] where f: ℝ→(-1, 1) is locally Lipschitz, the number of zeros of x(t) on any unit interval becomes finite after a period of time, with the single exception of the case f(0) = 0 and x(t) ≡ 0.

Original language | English (US) |
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Pages (from-to) | 381-424 |

Number of pages | 44 |

Journal | Journal of Dynamics and Differential Equations |

Volume | 13 |

Issue number | 2 |

DOIs | |

State | Published - 2001 |

## All Science Journal Classification (ASJC) codes

- Analysis

## Keywords

- Differential delay equations
- Nonexpansive operators

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