Existence And Stability Of Almost Periodic Solutions Of Differential Equations In Banach Spaces

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Almost Periodic Solutions of Differential Equations in Banach Spaces

Author : Yoshiyuki Hino
Publisher : CRC Press
ISBN 13 : 9780415272667
Total Pages : 276 pages
Book Rating : 4.2/5 (726 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 276 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 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.

Geometrical Methods in the Theory of Ordinary Differential Equations

Author : V.I. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 1461210372
Total Pages : 366 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Geometrical Methods in the Theory of Ordinary Differential Equations by : V.I. Arnold

Download or read book Geometrical Methods in the Theory of Ordinary Differential Equations written by V.I. Arnold and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, as well as all users of the theory of differential equations.

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 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.

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:

Research in Progress

Author :
Publisher :
ISBN 13 :
Total Pages : 834 pages
Book Rating : 4.:/5 (334 download)

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Book Synopsis Research in Progress by :

Download or read book Research in Progress written by and published by . This book was released on 1978 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Delay Differential Equations and Applications

Author : O. Arino
Publisher : Springer Science & Business Media
ISBN 13 : 1402036477
Total Pages : 596 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Delay Differential Equations and Applications by : O. Arino

Download or read book Delay Differential Equations and Applications written by O. Arino and published by Springer Science & Business Media. This book was released on 2007-01-07 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book groups material that was used for the Marrakech 2002 School on Delay Di?erential Equations and Applications. The school was held from September 9-21 2002 at the Semlalia College of Sciences of the Cadi Ayyad University, Marrakech, Morocco. 47 participants and 15 instructors originating from 21 countries attended the school. Fin- cial limitations only allowed support for part of the people from Africa andAsiawhohadexpressedtheirinterestintheschoolandhadhopedto come. Theschoolwassupportedby?nancementsfromNATO-ASI(Nato advanced School), the International Centre of Pure and Applied Mat- matics (CIMPA, Nice, France) and Cadi Ayyad University. The activity of the school consisted in courses, plenary lectures (3) and communi- tions (9), from Monday through Friday, 8. 30 am to 6. 30 pm. Courses were divided into units of 45mn duration, taught by block of two units, with a short 5mn break between two units within a block, and a 25mn break between two blocks. The school was intended for mathematicians willing to acquire some familiarity with delay di?erential equations or enhance their knowledge on this subject. The aim was indeed to extend the basic set of knowledge, including ordinary di?erential equations and semilinearevolutionequations, suchasforexamplethedi?usion-reaction equations arising in morphogenesis or the Belouzov-Zhabotinsky ch- ical reaction, and the classic approach for the resolution of these eq- tions by perturbation, to equations having in addition terms involving past values of the solution.

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.

Stability of Solutions of Differential Equations in Banach Space

Author : Ju. L. Daleckii
Publisher : American Mathematical Soc.
ISBN 13 : 0821832387
Total Pages : 396 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Stability of Solutions of Differential Equations in Banach Space by : Ju. L. Daleckii

Download or read book Stability of Solutions of Differential Equations in Banach Space written by Ju. L. Daleckii and published by American Mathematical Soc.. This book was released on 2002-03-15 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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:

Selected Topics in Almost Periodicity

Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110763524
Total Pages : 734 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 734 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.

New Frontiers of Multidisciplinary Research in STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health)

Author : Bourama Toni
Publisher : Springer
ISBN 13 : 3319077554
Total Pages : 405 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis New Frontiers of Multidisciplinary Research in STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health) by : Bourama Toni

Download or read book New Frontiers of Multidisciplinary Research in STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health) written by Bourama Toni and published by Springer. This book was released on 2014-09-25 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly multidisciplinary volume contains contributions from leading researchers in STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health). The volume explores new frontiers in multidisciplinary research, including: the mathematics of cardiac arrhythmia; brain research on working memory; penalized ordinal regression to classify melanoma skin samples; forecasting of time series data; dynamics of niche models; analysis of chemical moieties as anticancer agents; study of gene locus control regions; qualitative mathematical modelling; convex quadrics and group circle systems; remanufacturing planning and control; complexity reduction of functional differential equations; computation of viscous interfacial motion; and differentiation in human pluripotent stem cells. An extension of a seminar series at Virginia State University, the collection is intended to foster student interest and participation in interdisciplinary research and to stimulate new research. The content will be of interest to a broad spectrum of scientists, mathematicians and research students working in interdisciplinary fields including the biosciences, mathematics, engineering, neurosciences and behavioral sciences.

Functional and Impulsive Differential Equations of Fractional Order

Author : Ivanka Stamova
Publisher : CRC Press
ISBN 13 : 1498764843
Total Pages : 277 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Functional and Impulsive Differential Equations of Fractional Order by : Ivanka Stamova

Download or read book Functional and Impulsive Differential Equations of Fractional Order written by Ivanka Stamova and published by CRC Press. This book was released on 2017-03-03 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional impulsive differential equations, and fractional impulsive functional differential equations, which have not been covered by other books. It manifests different constructive methods by demonstrating how these techniques can be applied to investigate qualitative properties of the solutions of fractional systems. Since many applications have been included, the demonstrated techniques and models can be used in training students in mathematical modeling and in the study and development of fractional-order models.

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.

Partial Differential Equations and Applications

Author : Toka Diagana
Publisher : Springer Nature
ISBN 13 : 3031276612
Total Pages : 351 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Partial Differential Equations and Applications by : Toka Diagana

Download or read book Partial Differential Equations and Applications written by Toka Diagana and published by Springer Nature. This book was released on 2023-05-11 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume convenes selected, peer-reviewed works presented at the Partial Differential Equations and Applications Colloquium in Honor of Prof. Hamidou Toure that was held at the University Ouaga 1, Ouagadougou, Burkina Faso, November 5–9, 2018. Topics covered in this volume include boundary value problems for difference equations, differential forms in global analysis, functional differential equations, and stability in the context of PDEs. Studies on SIR and SIRS epidemic models, of special interest to researchers in epidemiology, are also included. This volume is dedicated to Dr. Hamidou Touré, a Research Professor at the University of Ouaga 1. Dr. Touré has made important scientific contributions in many fields of mathematical sciences. Dr. Touré got his PhD (1994) from the University of Franche-Comté of Besançon, France, and is one of the key leaders and mentor of several generations of mathematicians in French-speaking Africa. This conference was purposely held in Ouagadougou in reverence of Dr. Touré's efforts for the development of mathematics in Africa since the beginning of his career in early 1982 to the current days.

Almost Periodic Solutions of Impulsive Differential Equations

Author : Gani T. Stamov
Publisher : Springer Science & Business Media
ISBN 13 : 3642275451
Total Pages : 235 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Almost Periodic Solutions of Impulsive Differential Equations by : Gani T. Stamov

Download or read book Almost Periodic Solutions of Impulsive Differential Equations written by Gani T. Stamov and published by Springer Science & Business Media. This book was released on 2012-03-09 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.