Almost Periodic Functions And Functional Equations

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Almost-Periodic Functions and Functional Equations

Author : L. Amerio
Publisher : Springer Science & Business Media
ISBN 13 : 1475712545
Total Pages : 191 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Almost-Periodic Functions and Functional Equations by : L. Amerio

Download or read book Almost-Periodic Functions and Functional Equations written by L. Amerio and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of almost-periodic functions with complex values, created by H. Bohr [1] in his two classical papers published in Acta Mathematica in 1925 and 1926, has been developed by many authors and has had note worthy applications: we recall the works of Weyl, De la Vallee Poussin, Bochner, Stepanov, Wiener, Besicovic, Favard, Delsarte, Maak, Bogoliu bov, Levitan. This subject has been widely treated in the monographs by Bohr [2], Favard [1], Besicovic [1], Maak [1], Levitan [1], Cinquini [1], Corduneanu [1], [2]. An important class of almost-periodic functions was studied at the beginning of the century by Bohl and Esclangon. Bohr's theory has been extended by Muckenhoupt [1] in a particular case and, subsequently, by Bochner [1] and by Bochner and Von Neumann [1] to very general abstract spaces. The extension to Banach spaces is, in particular, of great interest, in view of the fundamental importance of these spaces in theory and application.

Almost-Periodic Functions and Functional Equations

Author : L. Amerio
Publisher : Springer
ISBN 13 : 9780387901190
Total Pages : 184 pages
Book Rating : 4.9/5 (11 download)

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Book Synopsis Almost-Periodic Functions and Functional Equations by : L. Amerio

Download or read book Almost-Periodic Functions and Functional Equations written by L. Amerio and published by Springer. This book was released on 1971-01-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Almost Periodic Differential Equations

Author : A.M. Fink
Publisher : Springer
ISBN 13 : 3540383077
Total Pages : 345 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Almost Periodic Differential Equations by : A.M. Fink

Download or read book Almost Periodic Differential Equations written by A.M. Fink and published by Springer. This book was released on 2006-11-15 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Almost Periodic Functions and Differential Equations

Author : B. M. Levitan
Publisher : CUP Archive
ISBN 13 : 9780521244077
Total Pages : 232 pages
Book Rating : 4.2/5 (44 download)

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Book Synopsis Almost Periodic Functions and Differential Equations by : B. M. Levitan

Download or read book Almost Periodic Functions and Differential Equations written by B. M. Levitan and published by CUP Archive. This book was released on 1982-12-02 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Almost Periodic Oscillations and Waves

Author : Constantin Corduneanu
Publisher : Springer Science & Business Media
ISBN 13 : 0387098194
Total Pages : 313 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Almost Periodic Oscillations and Waves by : Constantin Corduneanu

Download or read book Almost Periodic Oscillations and Waves written by Constantin Corduneanu and published by Springer Science & Business Media. This book was released on 2009-04-29 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is well-designed with respect to the exposition from the preliminary to the more advanced and the applications interwoven throughout. It provides the essential foundations for the theory as well as the basic facts relating to almost periodicity. In six structured and self-contained chapters, the author unifies the treatment of various classes of almost periodic functions, while uniquely addressing oscillations and waves in the almost periodic case. This is the first text to present the latest results in almost periodic oscillations and waves. The presentation level and inclusion of several clearly presented proofs make this work ideal for graduate students in engineering and science. The concept of almost periodicity is widely applicable to continuuum mechanics, electromagnetic theory, plasma physics, dynamical systems, and astronomy, which makes the book a useful tool for mathematicians and physicists.

Almost Periodic Type Functions and Ergodicity

Author : Zhang Chuanyi
Publisher : Springer Science & Business Media
ISBN 13 : 9781402011580
Total Pages : 372 pages
Book Rating : 4.0/5 (115 download)

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Book Synopsis Almost Periodic Type Functions and Ergodicity by : Zhang Chuanyi

Download or read book Almost Periodic Type Functions and Ergodicity written by Zhang Chuanyi and published by Springer Science & Business Media. This book was released on 2003-06-30 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of almost periodic functions was first developed by the Danish mathematician H. Bohr during 1925-1926. Then Bohr's work was substantially extended by S. Bochner, H. Weyl, A. Besicovitch, J. Favard, J. von Neumann, V. V. Stepanov, N. N. Bogolyubov, and oth ers. Generalization of the classical theory of almost periodic functions has been taken in several directions. One direction is the broader study of functions of almost periodic type. Related this is the study of ergodic ity. It shows that the ergodicity plays an important part in the theories of function spectrum, semigroup of bounded linear operators, and dynamical systems. The purpose of this book is to develop a theory of almost pe riodic type functions and ergodicity with applications-in particular, to our interest-in the theory of differential equations, functional differen tial equations and abstract evolution equations. The author selects these topics because there have been many (excellent) books on almost periodic functions and relatively, few books on almost periodic type and ergodicity. The author also wishes to reflect new results in the book during recent years. The book consists of four chapters. In the first chapter, we present a basic theory of four almost periodic type functions. Section 1. 1 is about almost periodic functions. To make the reader easily learn the almost periodicity, we first discuss it in scalar case. After studying a classical theory for this case, we generalize it to finite dimensional vector-valued case, and finally, to Banach-valued (including Hilbert-valued) situation.

Pseudo Almost Periodic Functions in Banach Spaces

Author : Toka Diagana
Publisher : Nova Publishers
ISBN 13 : 9781600216374
Total Pages : 152 pages
Book Rating : 4.2/5 (163 download)

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Book Synopsis Pseudo Almost Periodic Functions in Banach Spaces by : Toka Diagana

Download or read book Pseudo Almost Periodic Functions in Banach Spaces written by Toka Diagana and published by Nova Publishers. This book was released on 2007 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Almost Periodic Functions

Author : C. Corduneanu
Publisher : Taylor & Francis US
ISBN 13 : 9780828403313
Total Pages : 268 pages
Book Rating : 4.4/5 (33 download)

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Book Synopsis Almost Periodic Functions by : C. Corduneanu

Download or read book Almost Periodic Functions written by C. Corduneanu and published by Taylor & Francis US. This book was released on 1989 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface: 'The purpose of our book is to provide an overall view of all the basic features of almost periodic functions, in the various meanings this term has acquired in modern research as well as the many applications of such functions. This feature of the book should, of course, make it useful to those readers who are interested in the connections that exist between theory (pure!) of almost periodic functions and such areas of application as the theory of ordinary differential equations and partial differential equations. Several other areas of application are also indicated, together with an abundance of references'.From the Preface: 'The Bibliographical Notes at the end of almost every chapter have been added to in this second edition. Completely new is Chapter II.3, which is devoted to a relatively new class of almost periodic functions: random functions almost periodic in probability. It is certain that these functions will find many applications in the theory of stochastic functional equations'.

Almost Periodic Functions

Author : Harald Bohr
Publisher : Courier Dover Publications
ISBN 13 : 0486822370
Total Pages : 129 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Almost Periodic Functions by : Harald Bohr

Download or read book Almost Periodic Functions written by Harald Bohr and published by Courier Dover Publications. This book was released on 2018-08-15 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with a discussion of periodic functions, this groundbreaking exposition advances to the almost periodic case. An appendix covers the almost periodic functions of a complex variable. 1947 edition.

Almost Periodic Type Functions and Ergodicity

Author : Zhang Chuanyi
Publisher : Springer
ISBN 13 : 9789400710733
Total Pages : 0 pages
Book Rating : 4.7/5 (17 download)

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Book Synopsis Almost Periodic Type Functions and Ergodicity by : Zhang Chuanyi

Download or read book Almost Periodic Type Functions and Ergodicity written by Zhang Chuanyi and published by Springer. This book was released on 2013-09-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of almost periodic functions was first developed by the Danish mathematician H. Bohr during 1925-1926. Then Bohr's work was substantially extended by S. Bochner, H. Weyl, A. Besicovitch, J. Favard, J. von Neumann, V. V. Stepanov, N. N. Bogolyubov, and oth ers. Generalization of the classical theory of almost periodic functions has been taken in several directions. One direction is the broader study of functions of almost periodic type. Related this is the study of ergodic ity. It shows that the ergodicity plays an important part in the theories of function spectrum, semigroup of bounded linear operators, and dynamical systems. The purpose of this book is to develop a theory of almost pe riodic type functions and ergodicity with applications-in particular, to our interest-in the theory of differential equations, functional differen tial equations and abstract evolution equations. The author selects these topics because there have been many (excellent) books on almost periodic functions and relatively, few books on almost periodic type and ergodicity. The author also wishes to reflect new results in the book during recent years. The book consists of four chapters. In the first chapter, we present a basic theory of four almost periodic type functions. Section 1. 1 is about almost periodic functions. To make the reader easily learn the almost periodicity, we first discuss it in scalar case. After studying a classical theory for this case, we generalize it to finite dimensional vector-valued case, and finally, to Banach-valued (including Hilbert-valued) situation.

Selected Topics in Almost Periodicity

Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110763605
Total Pages : 606 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Selected Topics in Almost Periodicity by : Marko Kostić

Download or read book Selected Topics in Almost Periodicity written by Marko Kostić and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-22 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Metrical Almost Periodicity and Applications to Integro-Differential Equations

Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111234177
Total Pages : 561 pages
Book Rating : 4.1/5 (112 download)

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Book Synopsis Metrical Almost Periodicity and Applications to Integro-Differential Equations by : Marko Kostić

Download or read book Metrical Almost Periodicity and Applications to Integro-Differential Equations written by Marko Kostić and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-06-06 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of almost periodic functions is a very active field of research for scholars. This research monograph analyzes various classes of multi-dimensional metrically almost periodic type functions with values in complex Banach spaces. We provide many applications of our theoretical results to the abstract Volterra integro-differential inclusions in Banach spaces.

Almost Periodic Solutions of Differential Equations in Banach Spaces

Author : Yoshiyuki Hino
Publisher : CRC Press
ISBN 13 : 1482263165
Total Pages : 258 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Almost Periodic Solutions of Differential Equations in Banach Spaces by : Yoshiyuki Hino

Download or read book Almost Periodic Solutions of Differential Equations in Banach Spaces written by Yoshiyuki Hino and published by CRC Press. This book was released on 2001-10-25 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Periodic and Almost Automorphic Functions in Abstract Spaces

Author : Gaston M. N'Guérékata
Publisher : Springer Nature
ISBN 13 : 3030737187
Total Pages : 134 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Almost Periodic and Almost Automorphic Functions in Abstract Spaces by : Gaston M. N'Guérékata

Download or read book Almost Periodic and Almost Automorphic Functions in Abstract Spaces written by Gaston M. N'Guérékata and published by Springer Nature. This book was released on 2021-05-28 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Gaston M. N'Guérékata
Publisher : Springer Science & Business Media
ISBN 13 : 147574482X
Total Pages : 143 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Almost Automorphic and Almost Periodic Functions in Abstract Spaces by : Gaston M. N'Guérékata

Download or read book Almost Automorphic and Almost Periodic Functions in Abstract Spaces written by Gaston M. N'Guérékata and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Automorphic Type and Almost Periodic Type Functions in Abstract Spaces

Author : Toka Diagana
Publisher : Springer Science & Business Media
ISBN 13 : 3319008498
Total Pages : 312 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces by : Toka Diagana

Download or read book Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces written by Toka Diagana and published by Springer Science & Business Media. This book was released on 2013-08-13 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Stochastic Processes

Author : Paul H. Bezandry
Publisher : Springer Science & Business Media
ISBN 13 : 1441994769
Total Pages : 247 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Almost Periodic Stochastic Processes by : Paul H. Bezandry

Download or read book Almost Periodic Stochastic Processes written by Paul H. Bezandry and published by Springer Science & Business Media. This book was released on 2011-04-07 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book lays the foundations for a theory on almost periodic stochastic processes and their applications to various stochastic differential equations, functional differential equations with delay, partial differential equations, and difference equations. It is in part a sequel of authors recent work on almost periodic stochastic difference and differential equations and has the particularity to be the first book that is entirely devoted to almost periodic random processes and their applications. The topics treated in it range from existence, uniqueness, and stability of solutions for abstract stochastic difference and differential equations.