Almost Periodic And Almost Automorphic Solutions To Integro Differential Equations

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Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations

Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110641259
Total Pages : 508 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 508 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 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 and Almost Automorphic Solutions to Integro-Differential Equations

Author : Marko Kostić
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 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.

Abstract Volterra Integro-Differential Equations

Author : Marko Kostic
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.

Metrical Almost Periodicity and Applications to Integro-Differential Equations

Author : Marko Kostić
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:

Almost Periodic and Almost Automorphic Functions in Abstract Spaces

Author : Gaston M. N'Guérékata
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.

Topics in Almost Automorphy

Author : Gaston M. N'Guérékata
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 Functions in Abstract Spaces

Author : Gaston M. N'Guérékata
Publisher : Springer
ISBN 13 : 9783030737177
Total Pages : 134 pages
Book Rating : 4.7/5 (371 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. This book was released on 2021-05-29 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.

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.

Integro-Differential Equations

Author : Mouffak Benchohra
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

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.

ICCAP 2021

Author : A Mohan
Publisher : European Alliance for Innovation
ISBN 13 : 1631903306
Total Pages : 2763 pages
Book Rating : 4.6/5 (319 download)

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Book Synopsis ICCAP 2021 by : A Mohan

Download or read book ICCAP 2021 written by A Mohan and published by European Alliance for Innovation. This book was released on 2021-12-22 with total page 2763 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceeding constitutes the thoroughly refereed proceedings of the 1st International Conference on Combinatorial and Optimization, ICCAP 2021, December 7-8, 2021. This event was organized by the group of Professors in Chennai. The Conference aims to provide the opportunities for informal conversations, have proven to be of great interest to other scientists and analysts employing these mathematical sciences in their professional work in business, industry, and government. The Conference continues to promote better understanding of the roles of modern applied mathematics, combinatorics, and computer science to acquaint the investigator in each of these areas with the various techniques and algorithms which are available to assist in his or her research. We selected 257 papers were carefully reviewed and selected from 741 submissions. The presentations covered multiple research fields like Computer Science, Artificial Intelligence, internet technology, smart health care etc., brought the discussion on how to shape optimization methods around human and social needs.

Bloch-type Periodic Functions: Theory And Applications To Evolution Equations

Author : Yong-kui Chang
Publisher : World Scientific
ISBN 13 : 9811254370
Total Pages : 209 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Bloch-type Periodic Functions: Theory And Applications To Evolution Equations by : Yong-kui Chang

Download or read book Bloch-type Periodic Functions: Theory And Applications To Evolution Equations written by Yong-kui Chang and published by World Scientific. This book was released on 2022-07-13 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph aims to provide for the first time a unified and homogenous presentation of the recent works on the theory of Bloch periodic functions, their generalizations, and their applications to evolution equations. It is useful for graduate students and beginning researchers as seminar topics, graduate courses and reference text in pure and applied mathematics, physics, and engineering.

Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

Author : Hemen Dutta
Publisher : Springer Nature
ISBN 13 : 3030152421
Total Pages : 912 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Current Trends in Mathematical Analysis and Its Interdisciplinary Applications by : Hemen Dutta

Download or read book Current Trends in Mathematical Analysis and Its Interdisciplinary Applications written by Hemen Dutta and published by Springer Nature. This book was released on 2019-08-23 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, providing them with sufficient background to understand the theories, methods and applications discussed. The book’s main goal is to highlight the latest trends and advances, equipping interested readers to pursue further research of their own. Given its scope, the book will especially benefit graduate and PhD students, researchers in the applied sciences, educators, and engineers with an interest in recent developments in the interdisciplinary applications of mathematical analysis.

Theory of Translation Closedness for Time Scales

Author : Chao Wang
Publisher : Springer Nature
ISBN 13 : 3030386449
Total Pages : 586 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Theory of Translation Closedness for Time Scales by : Chao Wang

Download or read book Theory of Translation Closedness for Time Scales written by Chao Wang and published by Springer Nature. This book was released on 2020-05-05 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph establishes a theory of classification and translation closedness of time scales, a topic that was first studied by S. Hilger in 1988 to unify continuous and discrete analysis. The authors develop a theory of translation function on time scales that contains (piecewise) almost periodic functions, (piecewise) almost automorphic functions and their related generalization functions (e.g., pseudo almost periodic functions, weighted pseudo almost automorphic functions, and more). Against the background of dynamic equations, these function theories on time scales are applied to study the dynamical behavior of solutions for various types of dynamic equations on hybrid domains, including evolution equations, discontinuous equations and impulsive integro-differential equations. The theory presented allows many useful applications, such as in the Nicholson`s blowfiles model; the Lasota-Wazewska model; the Keynesian-Cross model; in those realistic dynamical models with a more complex hibrid domain, considered under different types of translation closedness of time scales; and in dynamic equations on mathematical models which cover neural networks. This book provides readers with the theoretical background necessary for accurate mathematical modeling in physics, chemical technology, population dynamics, biotechnology and economics, neural networks, and social sciences.

Combined Measure and Shift Invariance Theory of Time Scales and Applications

Author : Chao Wang
Publisher : Springer Nature
ISBN 13 : 3031116194
Total Pages : 443 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Combined Measure and Shift Invariance Theory of Time Scales and Applications by : Chao Wang

Download or read book Combined Measure and Shift Invariance Theory of Time Scales and Applications written by Chao Wang and published by Springer Nature. This book was released on 2022-09-22 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations. The study of shift closeness of time scales is significant to investigate the shift functions such as the periodic functions, the almost periodic functions, the almost automorphic functions, and their generalizations with many relevant applications in dynamic equations on arbitrary time scales. First proposed by S. Hilger, the time scale theory—a unified view of continuous and discrete analysis—has been widely used to study various classes of dynamic equations and models in real-world applications. Measure theory based on time scales, in its turn, is of great power in analyzing functions on time scales or hybrid domains. As a new and exciting type of mathematics—and more comprehensive and versatile than the traditional theories of differential and difference equations—, the time scale theory can precisely depict the continuous-discrete hybrid processes and is an optimal way forward for accurate mathematical modeling in applied sciences such as physics, chemical technology, population dynamics, biotechnology, and economics and social sciences. Graduate students and researchers specializing in general dynamic equations on time scales can benefit from this work, fostering interest and further research in the field. It can also serve as reference material for undergraduates interested in dynamic equations on time scales. Prerequisites include familiarity with functional analysis, measure theory, and ordinary differential equations.