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Pseudo almost periodic solutions for equation with piecewise constant argument |
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| Authors: | E. Ait Dads L. Lhachimi |
| Affiliation: | a Unité associée au CNRST (Maroc), URAC 02, Morocco b UMI, UMMISCO (IRD, UPMC), France c Laboratory of MDP, University Cadi Ayyad, Faculty of Sciences, Department of Mathematics, B.P. 2390 Marrakesh, Morocco d University Cadi Ayyad, Faculty of Sciences Semlalia, Department of Mathematics, B.P. 2390 Marrakesh, Morocco |
| Abstract: | By using the roughness theory of exponential dichotomies and the contraction mapping, some sufficient conditions are obtained for the existence and uniqueness of pseudo almost periodic solution of the above differential equation with piecewise constant argument |
| Keywords: | Contraction mapping Exponential dichotomy Pseudo almost periodic sequence Pseudo almost periodic solution Relatively dense Relatively compact set Fundamental solution Piecewise constant argument |
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