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has been cited by the following article:

• TITLE: Asymptotically Antiperiodic Solutions for a Nonlinear Differential Equation with Piecewise Constant Argument in a Banach Space

  AUTHORS: William Dimbour, Vincent Valmorin

  KEYWORDS: Asymptotically ω-Antiperiodic Functions, Differential Equations with Piecewise Constant Argument, Semi-Group

  JOURNAL NAME: Applied Mathematics, Vol.7 No.15, September 16, 2016

  ABSTRACT: In this paper, we give sufficient conditions for the existence and uniqueness of asymptotically w-antiperiodic solutions for a nonlinear differential equation with piecewise constant argument in a Banach space when w is an integer. This is done using the Banach fixed point theorem. An example involving the heat operator is discussed as an illustration of the theory.