Topics in Almost Automorphy - 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 Topics in Almost Automorphy write by Gaston M. N'Guérékata. This book was released on 2007-07-10. Topics in Almost Automorphy available in PDF, EPUB and Kindle. Since the publication of our first book [80], there has been a real resiu-gence of interest in the study of almost automorphic functions and their applications ([16, 17, 28, 29, 30, 31, 32, 40, 41, 42, 46, 51, 58, 74, 75, 77, 78, 79]). New methods (method of invariant s- spaces, uniform spectrum), and new concepts (almost periodicity and almost automorphy in fuzzy settings) have been introduced in the literature. The range of applications include at present linear and nonlinear evolution equations, integro-differential and functional-differential equations, dynamical systems, etc...It has become imperative to take a bearing of the main steps of the the ory. That is the main purpose of this monograph. It is intended to inform the reader and pave the road to more research in the field. It is not a self contained book. In fact, [80] remains the basic reference and fimdamental source of information on these topics. Chapter 1 is an introductory one. However, it contains also some recent contributions to the theory of almost automorphic functions in abstract spaces. VIII Preface Chapter 2 is devoted to the existence of almost automorphic solutions to some Unear and nonUnear evolution equations. It con tains many new results. Chapter 3 introduces to almost periodicity in fuzzy settings with applications to differential equations in fuzzy settings. It is based on a work by B. Bede and S. G. Gal [40].
Selected Topics in Almost Periodicity
Selected Topics in Almost Periodicity - 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 Selected Topics in Almost Periodicity write by Marko Kostić. This book was released on 2021-11-22. Selected Topics in Almost Periodicity available in PDF, EPUB and Kindle. Covers uniformly recurrent solutions and c-almost periodic solutions of abstract Volterra integro-differential equations as well as various generalizations of almost periodic functions in Lebesgue spaces with variable coefficients. Treats multi-dimensional almost periodic type functions and their generalizations in adequate detail.
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.
Studies in Evolution Equations and Related Topics
Studies in Evolution Equations and Related Topics - 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 Studies in Evolution Equations and Related Topics write by Gaston M. N'Guérékata. This book was released on 2021-10-27. Studies in Evolution Equations and Related Topics available in PDF, EPUB and Kindle. This volume features recent development and techniques in evolution equations by renown experts in the field. Each contribution emphasizes the relevance and depth of this important area of mathematics and its expanding reach into the physical, biological, social, and computational sciences as well as into engineering and technology. The reader will find an accessible summary of a wide range of active research topics, along with exciting new results. Topics include: Impulsive implicit Caputo fractional q-difference equations in finite and infinite dimensional Banach spaces; optimal control of averaged state of a population dynamic model; structural stability of nonlinear elliptic p(u)-Laplacian problem with Robin-type boundary condition; exponential dichotomy and partial neutral functional differential equations, stable and center-stable manifolds of admissible class; global attractor in Alpha-norm for some partial functional differential equations of neutral and retarded type; and more. Researchers in mathematical sciences, biosciences, computational sciences and related fields, will benefit from the rich and useful resources provided. Upper undergraduate and graduate students may be inspired to contribute to this active and stimulating field.
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.
