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Pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument \([t + 1/2]\). (English) Zbl 1217.34105

Summary: We investigate the existence and uniqueness of pseudo almost periodic solutions and unboundedness of other solutions for the systems of differential equations with piecewise constant argument \([t + 1/2]\) by means of new notion of pseudo almost periodic vector sequences. The case in which the characteristic equation has multiple roots is considered.

MSC:

34K06 Linear functional-differential equations
34K14 Almost and pseudo-almost periodic solutions to functional-differential equations
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