Henríquez, H.R., Pierre, M. and Táboas, P. (2008) On S-Asymptotically ω-Periodic Function on Banach Spaces and Applications. Journal of Mathematical Analysis and Applications, 343, 1119-1130.

http://dx.doi.org/10.1016/j.jmaa.2008.02.023

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.