Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110641259
Total Pages : 372 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations by : Marko Kostić

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.

Selected Topics in Almost Periodicity

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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.

Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces

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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.

Metrical Almost Periodicity and Applications to Integro-Differential Equations

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111233871
Total Pages : 576 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 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Almost Automorphy

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Publisher : Springer Science & Business Media
ISBN 13 : 0387274391
Total Pages : 176 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Topics in Almost Automorphy by : Gaston M. N'Guérékata

Download or read book Topics in Almost Automorphy written by Gaston M. N'Guérékata and published by Springer Science & Business Media. This book was released on 2007-07-10 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of our first book [80], there has been a real resiu-gence of interest in the study of almost automorphic functions and their applications ([16, 17, 28, 29, 30, 31, 32, 40, 41, 42, 46, 51, 58, 74, 75, 77, 78, 79]). New methods (method of invariant s- spaces, uniform spectrum), and new concepts (almost periodicity and almost automorphy in fuzzy settings) have been introduced in the literature. The range of applications include at present linear and nonlinear evolution equations, integro-differential and functional-differential equations, dynamical systems, etc...It has become imperative to take a bearing of the main steps of the the ory. That is the main purpose of this monograph. It is intended to inform the reader and pave the road to more research in the field. It is not a self contained book. In fact, [80] remains the basic reference and fimdamental source of information on these topics. Chapter 1 is an introductory one. However, it contains also some recent contributions to the theory of almost automorphic functions in abstract spaces. VIII Preface Chapter 2 is devoted to the existence of almost automorphic solutions to some Unear and nonUnear evolution equations. It con tains many new results. Chapter 3 introduces to almost periodicity in fuzzy settings with applications to differential equations in fuzzy settings. It is based on a work by B. Bede and S. G. Gal [40].

Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110641852
Total Pages : 372 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations by : Marko Kostić

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.

Almost Periodic Solutions of Impulsive Differential Equations

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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.

Almost Periodic Differential Equations

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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 Automorphic and Almost Periodic Solutions of Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Almost Automorphic and Almost Periodic Solutions of Differential Equations by : William A. Veech

Download or read book Almost Automorphic and Almost Periodic Solutions of Differential Equations written by William A. Veech and published by . This book was released on 1963 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems of differential equations in Hilbert space with almost automorphic or almost periodic coefficients are discussed. Coalescing the techniques of Favard and Bochner, certain of their results are extended for finite-dimensional systems to the context above, and sufficient conditions are determined for almost automorphic or almost periodic solutions to exist. (Author).

Almost Periodic Stochastic Processes

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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.

Abstract Volterra Integro-Differential Equations

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Publisher :
ISBN 13 : 9780367377670
Total Pages : 0 pages
Book Rating : 4.3/5 (776 download)

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Book Synopsis Abstract Volterra Integro-Differential Equations by : Marko Kostic

Download or read book Abstract Volterra Integro-Differential Equations written by Marko Kostic and published by . This book was released on 2019-09-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of linear Volterra Integro-differental equations has been developing rapidly in the last three decades. This book provides an easy-to-read, concise introduction to the theory of ill-posed abstract Volterra Integro-differential equations. It is accessible to readers whose backgrounds include functions of one complex variable, integration theory and the basic theory of locally convex spaces. Each chapter is further divided into sections and subsections, and contains plenty of examples and open problems.

Almost Periodic and Almost Automorphic Functions in Abstract Spaces

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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.

Asymptotically Almost Periodic Solutions of Differential Equations

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Publisher :
ISBN 13 : 9789774540998
Total Pages : 204 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Asymptotically Almost Periodic Solutions of Differential Equations by : David N. Cheban

Download or read book Asymptotically Almost Periodic Solutions of Differential Equations written by David N. Cheban and published by . This book was released on 2009 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 9401196826
Total Pages : 231 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations by : A.A. Pankov

Download or read book Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations written by A.A. Pankov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: ~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.

Integro-Differential Equations

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111437957
Total Pages : 321 pages
Book Rating : 4.1/5 (114 download)

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Book Synopsis Integro-Differential Equations by : Mouffak Benchohra

Download or read book Integro-Differential Equations written by Mouffak Benchohra and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-08-19 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book delves into semilinear evolution equations, impulsive differential equations, and integro-differential equations with different types of delay. The main objective is to investigate the existence of solutions and explore their approximate controllability, complete controllability, and attractivity. The study involves boundary conditions, nonlocal conditions, and impulsive conditions. The analysis presented in this book goes beyond traditional solutions and encompasses the study of solutions that are asymptotically almost automorphic and integro-differential equations with impulsive effects in both bounded and unbounded domains. The book also contains applications to nuclear physics, elementary particle physics, chemical engineering, and economics. This book is intended for researchers and professionals in the field of mathematics, physics and industrial engineering, as well as advanced graduate students.

Selected Topics in Almost Periodicity

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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.

Dynamic Equations and Almost Periodic Fuzzy Functions on Time Scales

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Publisher : Springer Nature
ISBN 13 : 3031112369
Total Pages : 195 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Dynamic Equations and Almost Periodic Fuzzy Functions on Time Scales by : Chao Wang

Download or read book Dynamic Equations and Almost Periodic Fuzzy Functions on Time Scales written by Chao Wang and published by Springer Nature. This book was released on 2022-09-20 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically establishes the almost periodic theory of dynamic equations and presents applications on time scales in fuzzy mathematics and uncertainty theory. The authors introduce a new division of fuzzy vectors depending on a determinant algorithm and develop a theory of almost periodic fuzzy multidimensional dynamic systems on time scales. Several applications are studied; in particular, a new type of fuzzy dynamic systems called fuzzy q-dynamic systems (i.e. fuzzy quantum dynamic systems) is presented. The results are not only effective on classical fuzzy dynamic systems, including their continuous and discrete situations, but are also valid for other fuzzy multidimensional dynamic systems on various hybrid domains. In an effort to achieve more accurate analysis in real world applications, the authors propose a number of uncertain factors in the theory. As such, fuzzy dynamical models, interval-valued functions, differential equations, fuzzy-valued differential equations, and their applications to dynamic equations on time scales are considered.