Samuel Castillo, Manuel Pinto
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.
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Samuel Castillo Departamento de Matemática, Facultad de Ciencias Universidad del Bío-Bío, Casilla 5-C Concepcíon, Chile email: scastill@ubiobio.cl |
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Manuel Pinto Departamento de Matemática, Facultad de Ciencias Universidad de Chile, Casilla 653 Santiago, Chile email: pintoj@uchile.cl |
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