Almost periodic type solutions of differential equations with piecewise constant argument via almost periodic type sequences |
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Affiliation: | Departamento de Matemática Aplicada a la Ingeniería Universidad de Valladolid, 47011 Valladolid, Spain;Institute of Computational Mathematics and Scientific/Engineering Computing Chinese Academy of Sciences, Beijing 100080, P.R. China;Departamento de Matemática Aplicada a la Ingeniería Universidad de Valladolid, 47011 Valladolid, Spain |
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Abstract: | The existence of almost periodic, asymptotically almost periodic, and pseudo almost periodic solutions of differential equations with piecewise constant argument is characterized in terms of almost periodic, asymptotically, and pseudo almost periodic sequences. Thus Meisters's and Opial's theorems are extended. |
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