Almost Periodic Solutions Of Differential Equations In Banach Spaces

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Almost Periodic Solutions of Differential Equations in Banach Spaces

Yoshiyuki Hino,Toshiki Naito,Nguyen VanMinh,Jong Son Shin
Almost Periodic Solutions of Differential Equations in Banach Spaces Book PDF

Author : Yoshiyuki Hino,Toshiki Naito,Nguyen VanMinh,Jong Son Shin
Publisher : CRC Press
Page : 276 pages
File Size : 45,7 Mb
Release : 2001-10-25
Category : Mathematics
ISBN : 0415272661

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Almost Periodic Solutions of Differential Equations in Banach Spaces by Yoshiyuki Hino,Toshiki Naito,Nguyen VanMinh,Jong Son Shin Pdf

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

Yoshiyuki Hino
Almost Periodic Solutions of Differential Equations in Banach Spaces Book PDF

Author : Yoshiyuki Hino
Publisher : G & B Pub
Page : 258 pages
File Size : 55,5 Mb
Release : 2001-05-01
Category : Mathematics
ISBN : 9056993488

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Almost Periodic Solutions of Differential Equations in Banach Spaces by Yoshiyuki Hino Pdf

The authors present 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, a new approach based on the so-called evolution semigroups with an original decomposition technique is systematically presented. The monograph also includes extensions of classical methods, such as fixed points and stability methods, to abstract functional differential equations with applications to partial functional differential equations.

Almost Periodic Differential Equations

A.M. Fink
Almost Periodic Differential Equations Book PDF

Author : A.M. Fink
Publisher : Springer
Page : 345 pages
File Size : 44,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540383079

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Almost Periodic Differential Equations by A.M. Fink Pdf

Selected Topics in Almost Periodicity

Marko Kostić
Selected Topics in Almost Periodicity Book PDF

Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
Page : 606 pages
File Size : 42,6 Mb
Release : 2021-11-22
Category : Mathematics
ISBN : 9783110763607

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Selected Topics in Almost Periodicity by Marko Kostić Pdf

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 Periodic Solutions of Impulsive Differential Equations

Gani T. Stamov
Almost Periodic Solutions of Impulsive Differential Equations Book PDF

Author : Gani T. Stamov
Publisher : Springer
Page : 217 pages
File Size : 44,7 Mb
Release : 2012-03-08
Category : Mathematics
ISBN : 9783642275463

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Almost Periodic Solutions of Impulsive Differential Equations by Gani T. Stamov Pdf

In the present book a systematic exposition of the results related to almost periodic solutions of impulsive differential equations is given and the potential for their application is illustrated.

Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations

Marko Kostić
Almost Periodic and Almost Automorphic Solutions to Integro Differential Equations Book PDF

Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
Page : 372 pages
File Size : 51,9 Mb
Release : 2019-05-06
Category : Mathematics
ISBN : 9783110641851

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Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations by Marko Kostić Pdf

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.

Metrical Almost Periodicity and Applications to Integro-Differential Equations

Marko Kostić
Metrical Almost Periodicity and Applications to Integro Differential Equations Book PDF

Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
Page : 561 pages
File Size : 50,6 Mb
Release : 2023-06-06
Category : Mathematics
ISBN : 9783111234175

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Metrical Almost Periodicity and Applications to Integro-Differential Equations by Marko Kostić Pdf

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 Stochastic Processes

Paul H. Bezandry,Toka Diagana
Almost Periodic Stochastic Processes Book PDF

Author : Paul H. Bezandry,Toka Diagana
Publisher : Springer Science & Business Media
Page : 235 pages
File Size : 46,7 Mb
Release : 2011-04-07
Category : Mathematics
ISBN : 9781441994769

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Almost Periodic Stochastic Processes by Paul H. Bezandry,Toka Diagana Pdf

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.

Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces

Toka Diagana
Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces Book PDF

Author : Toka Diagana
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 44,5 Mb
Release : 2013-08-13
Category : Mathematics
ISBN : 9783319008493

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Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces by Toka Diagana Pdf

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.

Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations

A.A. Pankov
Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations Book PDF

Author : A.A. Pankov
Publisher : Springer Science & Business Media
Page : 231 pages
File Size : 50,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401196826

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Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations by A.A. Pankov Pdf

~Et moi ... si j'avait su comment en revenir. One service mathematics has rendered the je n'y serais poin t aUe.· human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non· sense', The series is divergent; therefore we may be able to do something with it. Eric T. Bell o. lleaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com· puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'e1re of this series.

Almost Periodic Functions and Differential Equations

B. M. Levitan,V. V. Zhikov
Almost Periodic Functions and Differential Equations Book PDF

Author : B. M. Levitan,V. V. Zhikov
Publisher : CUP Archive
Page : 232 pages
File Size : 55,9 Mb
Release : 1982-12-02
Category : Mathematics
ISBN : 0521244072

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Almost Periodic Functions and Differential Equations by B. M. Levitan,V. V. Zhikov Pdf

Almost Periodic and Almost Automorphic Functions in Abstract Spaces

Gaston M. N'Guérékata
Almost Periodic and Almost Automorphic Functions in Abstract Spaces Book PDF

Author : Gaston M. N'Guérékata
Publisher : Springer Nature
Page : 134 pages
File Size : 51,9 Mb
Release : 2021-05-28
Category : Mathematics
ISBN : 9783030737184

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Almost Periodic and Almost Automorphic Functions in Abstract Spaces by Gaston M. N'Guérékata Pdf

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.

Impulsive Differential Equations

A M Samoilenko,N A Perestyuk
Impulsive Differential Equations Book PDF

Author : A M Samoilenko,N A Perestyuk
Publisher : World Scientific
Page : 472 pages
File Size : 55,7 Mb
Release : 1995-08-31
Category : Science
ISBN : 9789814499828

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Impulsive Differential Equations by A M Samoilenko,N A Perestyuk Pdf

Contents:General Description of Impulsive Differential SystemsLinear SystemsStability of SolutionsPeriodic and Almost Periodic Impulsive SystemsIntegral Sets of Impulsive SystemsOptimum Control in Impulsive SystemsAsymptotic Study of Oscillations in Impulsive SystemsA Periodic and Almost Periodic Impulsive SystemsBibliographySubject Index Readership: Researchers in nonlinear science. keywords:Differential Equations with Impulses;Linear Systems;Stability;Periodic and Quasi-Periodic Solutions;Integral Sets;Optimal Control “… lucid … the book … will benefit all who are interested in IDE…” Mathematics Abstracts