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Introduction and Preliminaries

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Abstract

This chapter has an introductory character to this monograph. We wish to recall briefly some concepts, results, methods and notations that will be used in the sequel. We will indicate in general some references where the reader can find more informations if neces-sary. Although for almost automorphy, our book [80] remains the main sotu-ce of information, we give detailed proofs to some new results.

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1.8 Bibliographical Remarks and Open Problems

  1. D. Bugajewski and G. M. N’Guérékata, On the Topological Structure of Almost Automorphic and Asymptotically Almost Automorphic Solutions of Differential and Integral Equations in Abstract Spaces, preprint.

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  2. T. Diagana, G. M. N’Guérékata and N. V. Minh, Almost Automorphic Solutions of Evolution Equations, Proceedings of the Amer. Math. Soc, accepted.

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  3. G. M. N’Guérékata, Remarks on Almost Automorphic Differential Equations, Dynamical systems and differential equations (Kennesaw, GA, 2000). Discrete Cont. Dynam. Systems 2001, Added Volume, pp. 247–249.

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  4. G. M. N’Guérékata, Almost Automorphic and Almost Periodic Functions in Abstract Spaces, Kluwer Academic Publishers, 2001, New York-London-Moscow.

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  5. W. Shen and Y. Yi, Almost Automorphic and Almost Periodic Dynamics in Skew-Product Semiflows, Memoirs of the Amer. Math. Soc, 647 vol. 136, 1998.

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  6. M. Zaki, Almost Automorphic Solutions of certain Abstract Differential Equations, Annali. di Mat. Pura ed Appl., series 4, 101 (1974), pp. 91–114.

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(2005). Introduction and Preliminaries. In: Topics in Almost Automorphy. Springer, Boston, MA. https://doi.org/10.1007/0-387-27439-1_1

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