Abstract
This chapter presents some of the most recent developments of the apphcations of almost automorphy to evolution equations. Some existence theorems are presented along with new methods to study almost automorphic solutions to linear and nonlinear evolution equations.
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Bibliographical Remarks and Open Problems
T. Diagana, Some Remarks on some Second-Order Hyperbolic Differential Equations, Semigroup Forum, 68, (2004), pp. 357–364.
T. Diagana and G. M. N’Guérékata, On some Perturbations of some Abstract Differential Equations, Comment. Math. Vol. XLIII, No. 2 (2003), pp. 201–206.
T. Diagana, G. M. N’Guérékata and N. V. Minh, Almost Automorphic Solutions of Evolution Equations, Proceedings of the Amer. Math. Soc, accepted.
J. A. Goldstein and G. M. N’Guérékata, Almost Automorphic Solution of Semilinear Evolution Equations, Proc. Amer. Math. Soc, to appear.
Y. Hino, T. Naito, N. V. Minh and J. S. Shin, Almost Periodic Solutions of Differential Equations in Banach Spaces, Taylor and Francis, London-New-York, 2002.
J. Liu, G. M. N’Guérékata and NGuyen V. Minh, Almost Automorphic Solutions of Second Order Evolution Equations, Appl. Analysis, to appear.
G. M. N’Guérékata, Almost Automorphic Functions and Applications to Abstract Evolution Equations, Contemporary Math., Amer. Math. Soc. 252 (1999), pp. 71–76.
G. M. N’Guérékata, Existence and Uniqueness of Almost Automorphic Mild Solutions to some Semilinear Abstract Differential Equations, Semigroup Forum, to appear.
G. M. N’Guérékata, Almost Automorphy and Almost Periodicity of Motions in Banach Spaces, Forum Math. 13 (2000), pp. 581–588.
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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(2005). Almost Automorphic Evolution Equations. In: Topics in Almost Automorphy. Springer, Boston, MA. https://doi.org/10.1007/0-387-27439-1_2
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DOI: https://doi.org/10.1007/0-387-27439-1_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-22846-4
Online ISBN: 978-0-387-27439-3
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