Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces write by Toka Diagana. This book was released on 2013-08-13. Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces available in PDF, EPUB and Kindle. This book presents a comprehensive introduction to the concepts of almost periodicity, asymptotic almost periodicity, almost automorphy, asymptotic almost automorphy, pseudo-almost periodicity, and pseudo-almost automorphy as well as their recent generalizations. Some of the results presented are either new or else cannot be easily found in the mathematical literature. Despite the noticeable and rapid progress made on these important topics, the only standard references that currently exist on those new classes of functions and their applications are still scattered research articles. One of the main objectives of this book is to close that gap. The prerequisites for the book is the basic introductory course in real analysis. Depending on the background of the student, the book may be suitable for a beginning graduate and/or advanced undergraduate student. Moreover, it will be of a great interest to researchers in mathematics as well as in engineering, in physics, and related areas. Further, some parts of the book may be used for various graduate and undergraduate courses.
Almost Periodic and Almost Automorphic Functions in Abstract Spaces
Almost Periodic and Almost Automorphic Functions in Abstract Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Almost Periodic and Almost Automorphic Functions in Abstract Spaces write by Gaston M. N'Guérékata. This book was released on 2021-05-29. Almost Periodic and Almost Automorphic Functions in Abstract Spaces available in PDF, EPUB and Kindle. 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. Since the publication of Almost automorphic and almost periodic functions in abstract spaces (Kluwer Academic/Plenum, 2001), there has been a surge of interest in the theory of almost automorphic functions and applications to evolution equations. Several generalizations have since been introduced in the literature, including the study of almost automorphic sequences, and the interplay between almost periodicity and almost automorphic has been exposed for the first time in light of operator theory, complex variable functions and harmonic analysis methods. As such, the time has come for a second edition to this work, which was one of the most cited books of the year 2001. This new edition clarifies and improves upon earlier materials, includes many relevant contributions and references in new and generalized concepts and methods, and answers the longtime open problem, "What is the number of almost automorphic functions that are not almost periodic in the sense of Bohr?" Open problems in non-locally convex valued almost periodic and almost automorphic functions are also indicated. As in the first edition, materials are presented in a simplified and rigorous way. Each chapter is concluded with bibliographical notes showing the original sources of the results and further reading.
Almost Automorphic and Almost Periodic Functions in Abstract Spaces
Almost Automorphic and Almost Periodic Functions in Abstract Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Almost Automorphic and Almost Periodic Functions in Abstract Spaces write by Gaston M. N'Guérékata. This book was released on 2013-04-17. Almost Automorphic and Almost Periodic Functions in Abstract Spaces available in PDF, EPUB and Kindle. Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued functions in Bochner's sense and the study of almost periodic functions in a locally convex space in a homogenous and unified manner. It also applies the results obtained to study almost automorphic solutions of abstract differential equations, expanding the core topics with a plethora of groundbreaking new results and applications. For the sake of clarity, and to spare the reader unnecessary technical hurdles, the concepts are studied using classical methods of functional analysis.
Almost Periodic and Almost Automorphic Functions in Abstract Spaces
Almost Periodic and Almost Automorphic Functions in Abstract Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Almost Periodic and Almost Automorphic Functions in Abstract Spaces write by Gaston M. N'Guérékata. This book was released on 2021-05-28. Almost Periodic and Almost Automorphic Functions in Abstract Spaces available in PDF, EPUB and Kindle. 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. Since the publication of Almost automorphic and almost periodic functions in abstract spaces (Kluwer Academic/Plenum, 2001), there has been a surge of interest in the theory of almost automorphic functions and applications to evolution equations. Several generalizations have since been introduced in the literature, including the study of almost automorphic sequences, and the interplay between almost periodicity and almost automorphic has been exposed for the first time in light of operator theory, complex variable functions and harmonic analysis methods. As such, the time has come for a second edition to this work, which was one of the most cited books of the year 2001. This new edition clarifies and improves upon earlier materials, includes many relevant contributions and references in new and generalized concepts and methods, and answers the longtime open problem, "What is the number of almost automorphic functions that are not almost periodic in the sense of Bohr?" Open problems in non-locally convex valued almost periodic and almost automorphic functions are also indicated. As in the first edition, materials are presented in a simplified and rigorous way. Each chapter is concluded with bibliographical notes showing the original sources of the results and further reading.
Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations
Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations write by Marko Kostić. This book was released on 2019-05-06. Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations available in PDF, EPUB and Kindle. This book discusses almost periodic and almost automorphic solutions to abstract integro-differential Volterra equations that are degenerate in time, and in particular equations whose solutions are governed by (degenerate) solution operator families with removable singularities at zero. It particularly covers abstract fractional equations and inclusions with multivalued linear operators as well as abstract fractional semilinear Cauchy problems.
