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Author : Paul Lawrence Irwin
Publisher :
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.:/5 (176 download)
Download or read book Weakly Almost Periodic Vector-valued Functions written by Paul Lawrence Irwin and published by . This book was released on 1974 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Seymour Goldberg
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (476 download)
Download or read book Weakly almost periodic vector-valued functions written by Seymour Goldberg and published by . This book was released on 1979 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bolis Basit
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.3/5 (121 download)
Download or read book Some Problems Concerning Different Types of Vector Valued Almost Periodic Functions written by Bolis Basit and published by . This book was released on 1995 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gaston M. N'Guérékata
Publisher : Springer Science & Business Media
ISBN 13 : 147574482X
Total Pages : 143 pages
Book Rating : 4.4/5 (757 download)
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.
Author : W. M. Ruess
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.3/5 (121 download)
Download or read book Integration of Asymptotically Almost Periodic Functions and Weak Asymptotic Almost Periodicity written by W. M. Ruess and published by . This book was released on 1989 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zhang Chuanyi
Publisher : Springer Science & Business Media
ISBN 13 : 9781402011580
Total Pages : 372 pages
Book Rating : 4.0/5 (115 download)
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.
Author : Chuanyi Zhang
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.3/5 (121 download)
Download or read book Vector-valued Means and Their Applications in Some Vector-valued Function Spaces written by Chuanyi Zhang and published by . This book was released on 1994 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Samuel Zaidman
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.:/5 (44 download)
Download or read book Almost-periodic Functions in Abstract Spaces written by Samuel Zaidman and published by Pitman Advanced Publishing Program. This book was released on 1985 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research not presents recent results in the field of almost-periodicity. The emphasis is on the study of vector-valued almost-periodic functions and related classes, such as asymptotically almost-periodic or almost-automorphic functions. Many examples are given, and applications are indicated. The first three chapters form a self-contained introduction to the study of continuity, derivability and integration in locally convex or Banach spaces. The remainder of the book is devoted to almost-periodicity and related topics. The functions are defined on IR, IR[superscript n] or an abstract group; the range is a Banach or a Hilbert space. Although treatment of the material related to pure mathematics, the theory has many applications in the area of abstract differential equations.
Author : J. F. Berglund
Publisher : Springer
ISBN 13 : 3540351841
Total Pages : 166 pages
Book Rating : 4.5/5 (43 download)
Download or read book Compact Semitopological Semigroups and Weakly Almost Periodic Functions written by J. F. Berglund and published by Springer. This book was released on 2006-11-14 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110641852
Total Pages : 372 pages
Book Rating : 4.1/5 (16 download)
Download or read book Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations written by Marko Kostić and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-05-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : L. Amerio
Publisher : Springer Science & Business Media
ISBN 13 : 1475712545
Total Pages : 191 pages
Book Rating : 4.4/5 (757 download)
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.
Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110763605
Total Pages : 606 pages
Book Rating : 4.1/5 (17 download)
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.
Author : Yoshiyuki Hino
Publisher : CRC Press
ISBN 13 : 1482263165
Total Pages : 258 pages
Book Rating : 4.4/5 (822 download)
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
Author : Wolfgang Arendt
Publisher : Springer Science & Business Media
ISBN 13 : 3034850751
Total Pages : 526 pages
Book Rating : 4.0/5 (348 download)
Download or read book Vector-valued Laplace Transforms and Cauchy Problems written by Wolfgang Arendt and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear evolution equations in Banach spaces have seen important developments in the last two decades. This is due to the many different applications in the theory of partial differential equations, probability theory, mathematical physics, and other areas, and also to the development of new techniques. One important technique is given by the Laplace transform. It played an important role in the early development of semigroup theory, as can be seen in the pioneering monograph by Rille and Phillips [HP57]. But many new results and concepts have come from Laplace transform techniques in the last 15 years. In contrast to the classical theory, one particular feature of this method is that functions with values in a Banach space have to be considered. The aim of this book is to present the theory of linear evolution equations in a systematic way by using the methods of vector-valued Laplace transforms. It is simple to describe the basic idea relating these two subjects. Let A be a closed linear operator on a Banach space X. The Cauchy problern defined by A is the initial value problern (t 2 0), (CP) {u'(t) = Au(t) u(O) = x, where x E X is a given initial value. If u is an exponentially bounded, continuous function, then we may consider the Laplace transform 00 u(>. ) = 1 e-). . tu(t) dt of u for large real>. .
Author : Indian Institute of Science, Bangalore
Publisher :
ISBN 13 :
Total Pages : 530 pages
Book Rating : 4.:/5 (41 download)
Download or read book Journal of the Indian Institute of Science written by Indian Institute of Science, Bangalore and published by . This book was released on 1989 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9400959974
Total Pages : 525 pages
Book Rating : 4.4/5 (9 download)
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Author :
Publisher :
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.3/5 (91 download)
Download or read book Russian Journal of Mathematical Physics written by and published by . This book was released on 2006 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
