English

Existence and Stability of Almost Periodic Solutions of Differential Equations with Generalized Piecewise Constant Argument

Dynamical Systems 2014-01-03 v1

Abstract

This work deals with the existence of an almost periodic solution for certain kind of differential equations with generalized piecewise constant argument, almost periodic coefficients which are seen as a perturbation of a linear equation of that kind satisfying an exponential dichotomy on a difference equation. The stability of that solution in a semi-axis studied.

Keywords

Cite

@article{arxiv.1401.0320,
  title  = {Existence and Stability of Almost Periodic Solutions of Differential Equations with Generalized Piecewise Constant Argument},
  author = {Samuel Castillo and Manuel Pinto},
  journal= {arXiv preprint arXiv:1401.0320},
  year   = {2014}
}