Almost Periodic Solutions of Differential Equations in Banach 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 Solutions of Differential Equations in Banach Spaces write by Yoshiyuki Hino. This book was released on 2001-10-25. Almost Periodic Solutions of Differential Equations in Banach Spaces available in PDF, EPUB and Kindle. This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with an original decomposition technique. The book also extends classical techniques, such as fixed points and stability methods, to abstract functional differential equations with applications to partial functional differential equations. Almost Periodic Solutions of Differential Equations in Banach Spaces will appeal to anyone working in mathematical analysis.
Almost Periodic Solutions of Differential Equations in Banach Spaces
Almost Periodic Solutions of Differential Equations in Banach 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 Solutions of Differential Equations in Banach Spaces write by Yoshiyuki Hino. This book was released on 2001-10-25. Almost Periodic Solutions of Differential Equations in Banach Spaces available in PDF, EPUB and Kindle. This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with
Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces
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.
Geometrical Methods in the Theory of Ordinary Differential Equations
Geometrical Methods in the Theory of Ordinary 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 Geometrical Methods in the Theory of Ordinary Differential Equations write by V.I. Arnold. This book was released on 2012-12-06. Geometrical Methods in the Theory of Ordinary Differential Equations available in PDF, EPUB and Kindle. Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, as well as all users of the theory of differential equations.
