Differences of functions in locally convex spaces and applications to almost periodic and almost automorphic functions
Bolis Basit, Magdi Emam (1983)
Annales Polonici Mathematici
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Bolis Basit, Magdi Emam (1983)
Annales Polonici Mathematici
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Cieutat, P., Fatajou, S., N'guérékata, G.M. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Diagana, T. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Hui-Sheng Ding, Shun-Mei Wan (2017)
Open Mathematics
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This paper is concerned with the existence and uniqueness of asymptotically almost automorphic solutions to differential equations with piecewise constant argument. To study that, we first introduce several notions about asymptotically almost automorphic type functions and obtain some properties of such functions. Then, on the basis of a systematic study on the associated difference system, the existence and uniqueness theorem is established. Compared with some earlier results, we do...
Araya, Daniela, Castro, Rodrigo, Lizama, Carlos (2009)
Advances in Difference Equations [electronic only]
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N'Guérékata, Gaston Mandata (2000)
International Journal of Mathematics and Mathematical Sciences
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de Andrade, Bruno, Cuevas, Claudio (2009)
Journal of Inequalities and Applications [electronic only]
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N'Guerekata, Gaston M. (2001)
International Journal of Mathematics and Mathematical Sciences
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Fatajou, Samir, Minh, Nguyen Van, N'Guérékata, Gaston M., Pankov, Alexander (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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N'Guérékata, Gaston Mandata (1986)
International Journal of Mathematics and Mathematical Sciences
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W. M. Ruess, W. H. Summers
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SummaryWe resolve the question as to when an asymptotically almost periodic function with values in a Banach space has an asymptotically almost periodic integral. Further, we characterize the weakly relatively compact sets in spaces of vector valued continuous functions and use the resulting criteria to investigate the relationship between weak almost periodicity in the sense of Eberlein and the parallel notion utilized by Amerio in his approach to extending the classical Bohl-Bohr integration...
Hu, Zhanrong, Jin, Zhen (2008)
Discrete Dynamics in Nature and Society
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Charles Dorsett (1988)
Publications de l'Institut Mathématique
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S. P. Chakraborty (1975)
Publications de l'Institut Mathématique
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