Electronic Journal of Differential Equations,
Vol. 2015 (2015), No. 58, pp. 1-15.
Title: Existence and stability of almost periodic solutions to differential
equations with piecewise constant arguments
Authors: Samuel Castillo (Univ. del Bio-Bio, Concepcion, Chile)
Manuel Pinto (Univ. de Chile, Santiago, Chile)
Abstract:
This work concerns the existence of almost periodic solutions
for certain differential equations with piecewise constant arguments.
The coefficients of these equations are almost periodic and the equation
can be seen as perturbations of a linear equation satisfying
an exponential dichotomy on a difference equation. The stability of
that solution on a semi-axis is also studied.
Submitted August 25, 2014. Published March 10, 2015.
Math Subject Classifications: 34A38, 34C27, 34D09, 34D20.
Key Words: Piecewise constant argument;almost periodic solutions;
exponential dichotomy; stability of solutions.