Geodesic
Existence and stability of almost periodic solutions to differential equations with piecewise constant arguments
Electronic Journal of Differential Equations, Tome 2015 (2015).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 34A38, 34C27, 34D09, 34D20
Keywords: piecewise constant argument;almost periodic solutions, exponential dichotomy, stability of solutions 
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     author = {Castillo, Samuel and Pinto, Manuel},
     title = {Existence and stability of almost periodic solutions to differential equations with piecewise constant arguments},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2015},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a13/}
}
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Castillo, Samuel; Pinto, Manuel. Existence and stability of almost periodic solutions to differential equations with piecewise constant arguments. Electronic Journal of Differential Equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a13/