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Zbl 0996.34062
Hong, Jialin; Obaya, Rafael; Sanz, Ana
Almost-periodic-type solutions of some differential equations with piecewise constant argument. (English)
[J] Nonlinear Anal., Theory Methods Appl. 45, No.6, A, 661-688 (2001). ISSN 0362-546X

The authors consider linear inhomogeneous and quasilinear systems of neutral differential equations with piecewise continuous argument. Sufficient conditions for the existence of pseudo-almost-periodic and generalized pseudo-almost-periodic solutions are obtained. Reducing to corresponding difference equations is effectively used.
[Marat Akhmet (Ankara)]

MSC 2000:: *34K14 Almost periodic solutions of functional differential equations
34D09 Dichotomy, trichotomy
34K06 Linear functional-differential equations
34K40 Neutral equations

Keywords: pseudo-almost-periodic solutions; generalized pseudo-almost-periodic solutions; pseudo-almost-periodic sequences; generalized pseudo-almost-periodic sequences; exponential dichotomy; piecewise continuous argument; neutral and nonneutral equations

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