Almost Periodic and Almost Automorphic Functions in Abstract Spaces

Häftad, Engelska, 2022

Av Gaston M. N'Guérékata, Gaston M. N'Guerekata

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This book presents the foundation of the theory of almost automorphic functions in abstract spaces and the theory of almost periodic functions in locally and non-locally convex spaces and their applications in differential equations.

Produktinformation

Utgivningsdatum2022-05-30
Mått155 x 235 x 9 mm
Vikt236 g
FormatHäftad
SpråkEngelska
Antal sidor134
Upplaga2
FörlagSpringer Nature Switzerland AG
ISBN9783030737207
OriginaltitelAlmost Automorphic and Almost Periodic Functions in Abstract Spaces

Tillhör följande kategorier

1. Introduction and Preliminaries.- 2. Almost Automorphic Functions.- 3. Almost Automorphy of the Function f(t,x).- 4. Differentiation and Integration.- 5. Pseudo Almost Automorphy.- 6. Stepanov-like Almost Automorphic Functions.- 7. Dynamical Systems and C0-Semigroups.- 8. Almost Periodic Functions with Values in a Locally Convex Space.- 9. Almost Period Functions with Values in a Non-Locally Convex Space.- 10. The Equation x'(t)=A(t)x(t)+f(t).- 11. Almost Periodic Solutions of the Differential Equation in Locally Convex Spaces.- Bibliography.

“This book is a nice text for those interested in the topics of almost automorphy in abstract spaces and almost periodicity in locally and non-locally convex spaces. … The author, a noted specialist in the area, develops, with examples and applications, these new concepts and results, which are now receiving the attention of an increasing number of researchers. Thus the book will serve as a good reference for specialists in this subject.” (Mohamed Zitane, zbMATH 1479.43001, 2022)