Generalized almost periodic functions
J. W. McCoy (1970)
Colloquium Mathematicae
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J. W. McCoy (1970)
Colloquium Mathematicae
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Abdelkarim-Nidal Akdad, Khalil Ezzinbi, Lotti Souden (2015)
Nonautonomous Dynamical Systems
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In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results.
B. Amir, L. Maniar (1999)
Annales mathématiques Blaise Pascal
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Chuan Yi Zhang (1997)
Czechoslovak Mathematical Journal
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Vector-valued pseudo almost periodic functions are defined and their properties are investigated. The vector-valued functions contain many known functions as special cases. A unique decomposition theorem is given to show that a vector-valued pseudo almost periodic function is a sum of an almost periodic function and an ergodic perturbation.
Zhang, Liuwei, Xu, Yuantong (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Diagana, Toka (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Aribindi Satyanarayan Rao (1987)
International Journal of Mathematics and Mathematical Sciences
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Long, Wei, Ding, Hui-Sheng (2011)
Advances in Difference Equations [electronic only]
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Rao, Aribindi Satyanarayan (1991)
International Journal of Mathematics and Mathematical Sciences
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