Almost Periodic Functions And Functional Equations
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Almost Periodic Functions And Functional Equations
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Author : L. Amerio
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Almost Periodic Functions And Functional Equations written by L. Amerio and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
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
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Author : L. Amerio
language : en
Publisher: Springer
Release Date : 1971-01-01
Almost Periodic Functions And Functional Equations written by L. Amerio and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-01-01 with Mathematics categories.
Almost Periodic Functions And Differential Equations
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Author : B. M. Levitan
language : en
Publisher: CUP Archive
Release Date : 1982-12-02
Almost Periodic Functions And Differential Equations written by B. M. Levitan and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-12-02 with Mathematics categories.
Almost Periodic Oscillations And Waves
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Author : Constantin Corduneanu
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-29
Almost Periodic Oscillations And Waves written by Constantin Corduneanu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-29 with Mathematics categories.
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
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Author : Zhang Chuanyi
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-06-30
Almost Periodic Type Functions And Ergodicity written by Zhang Chuanyi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-30 with Mathematics categories.
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
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Author : Toka Diagana
language : en
Publisher: Nova Publishers
Release Date : 2007
Pseudo Almost Periodic Functions In Banach Spaces written by Toka Diagana and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Almost Periodic Differential Equations
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Author : A.M. Fink
language : en
Publisher: Springer
Release Date : 2006-11-15
Almost Periodic Differential Equations written by A.M. Fink and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Almost Periodic Type Functions And Ergodicity
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Author : Zhang Chuanyi
language : en
Publisher: Springer
Release Date : 2013-09-14
Almost Periodic Type Functions And Ergodicity written by Zhang Chuanyi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-14 with Mathematics categories.
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.
Almost Periodic Solutions Of Differential Equations In Banach Spaces
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Author : Yoshiyuki Hino
language : en
Publisher: CRC Press
Release Date : 2001-10-25
Almost Periodic Solutions Of Differential Equations In Banach Spaces written by Yoshiyuki Hino and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-25 with Mathematics categories.
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 Functions
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Author : C. Corduneanu
language : en
Publisher: Taylor & Francis US
Release Date : 1989
Almost Periodic Functions written by C. Corduneanu and has been published by Taylor & Francis US this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
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'.