EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS TO DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS

Samuel Castillo, Manuel Pinto
2015 Electronic Journal of Differential Equations   unpublished
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.
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