Stability Theory And The Existence Of Periodic Solutions And Almost Periodic Solutions

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Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions

Author : T. Yoshizawa
Publisher : Springer Science & Business Media
ISBN 13 : 146126376X
Total Pages : 240 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions by : T. Yoshizawa

Download or read book Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions written by T. Yoshizawa and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since there are several excellent books on stability theory, the author selected some recent topics in stability theory which are related to existence theorems for periodic solutions and for almost periodic solutions. The author hopes that these notes will also serve as an introduction to stability theory. These notes contain stability theory by Liapunov's second method and somewhat extended discussion of stability properties in almost periodic systems, and the existence of a periodic solution in a periodic system is discussed in connection with the boundedness of solutions, and the existence of an almost periodic solution in an almost periodic system is considered in con nection with some stability property of a bounded solution. In the theory of almost periodic systems, one has to consider almost periodic functions depending on parameters, but most of text books on almost periodic functions do not contain this case. Therefore, as mathemati cal preliminaries, the first chapter is intended to provide a guide for some properties of almost periodic functions with parameters as well as for properties of asymptotically almost periodic functions. These notes originate from a seminar on stability theory given by the author at the Mathematics Department of Michigan State Univer sity during the academic year 1972-1973. The author is very grateful to Professor Pui-Kei Wong and members of the Department for their warm hospitality and many helpful conversations. The author wishes to thank Mrs.

Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions

Author : T. Yoshizawa
Publisher :
ISBN 13 : 9783540901129
Total Pages : 233 pages
Book Rating : 4.9/5 (11 download)

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Book Synopsis Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions by : T. Yoshizawa

Download or read book Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions written by T. Yoshizawa and published by . This book was released on 1975-01-01 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

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.

Theory and Applications of Difference Equations and Discrete Dynamical Systems

Author : Ziyad AlSharawi
Publisher : Springer
ISBN 13 : 3662441403
Total Pages : 229 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Theory and Applications of Difference Equations and Discrete Dynamical Systems by : Ziyad AlSharawi

Download or read book Theory and Applications of Difference Equations and Discrete Dynamical Systems written by Ziyad AlSharawi and published by Springer. This book was released on 2014-08-22 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 19th International Conference on Difference Equations and Applications, held at Sultan Qaboos University, Muscat, Oman in May 2013. The conference brought together experts and novices in the theory and applications of difference equations and discrete dynamical systems. The volume features papers in difference equations and discrete time dynamical systems with applications to mathematical sciences and, in particular, mathematical biology, ecology, and epidemiology. It includes four invited papers and eight contributed papers. Topics covered include: competitive exclusion through discrete time models, Benford solutions of linear difference equations, chaos and wild chaos in Lorenz-type systems, advances in periodic difference equations, the periodic decomposition problem, dynamic selection systems and replicator equations, and asymptotic equivalence of difference equations in Banach Space. This book will appeal to researchers, scientists, and educators who work in the fields of difference equations, discrete time dynamical systems and their applications.

Almost Periodic Oscillations and Waves

Author : Constantin Corduneanu
Publisher : Springer Science & Business Media
ISBN 13 : 0387098194
Total Pages : 313 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Almost Periodic Oscillations and Waves by : Constantin Corduneanu

Download or read book Almost Periodic Oscillations and Waves written by Constantin Corduneanu and published by Springer Science & Business Media. This book was released on 2009-04-29 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is well-designed with respect to the exposition from the preliminary to the more advanced and the applications interwoven throughout. It provides the essential foundations for the theory as well as the basic facts relating to almost periodicity. In six structured and self-contained chapters, the author unifies the treatment of various classes of almost periodic functions, while uniquely addressing oscillations and waves in the almost periodic case. This is the first text to present the latest results in almost periodic oscillations and waves. The presentation level and inclusion of several clearly presented proofs make this work ideal for graduate students in engineering and science. The concept of almost periodicity is widely applicable to continuuum mechanics, electromagnetic theory, plasma physics, dynamical systems, and astronomy, which makes the book a useful tool for mathematicians and physicists.

Difference Equations, Discrete Dynamical Systems and Applications

Author : Saber Elaydi
Publisher : Springer
ISBN 13 : 3030200167
Total Pages : 382 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Difference Equations, Discrete Dynamical Systems and Applications by : Saber Elaydi

Download or read book Difference Equations, Discrete Dynamical Systems and Applications written by Saber Elaydi and published by Springer. This book was released on 2019-06-29 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the proceedings of the 23rd International Conference on Difference Equations and Applications, ICDEA 2017, held at the West University of Timișoara, Romania, under the auspices of the International Society of Difference Equations (ISDE), July 24 - 28, 2017. It includes new and significant contributions in the field of difference equations, discrete dynamical systems and their applications in various sciences. Disseminating recent studies and related results and promoting advances, the book appeals to PhD students, researchers, educators and practitioners in the field.

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 Solutions of Differential Equations in Banach Spaces

Author : Yoshiyuki Hino
Publisher : CRC Press
ISBN 13 : 1482263165
Total Pages : 258 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Almost Periodic Solutions of Differential Equations in Banach Spaces by : Yoshiyuki Hino

Complex Time-Delay Systems

Author : Fatihcan M. Atay
Publisher : Springer
ISBN 13 : 3642023290
Total Pages : 328 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Complex Time-Delay Systems by : Fatihcan M. Atay

Download or read book Complex Time-Delay Systems written by Fatihcan M. Atay and published by Springer. This book was released on 2010-03-10 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the major contemporary challenges in both physical and social sciences is modeling, analyzing, and understanding the self-organization, evolution, behavior, and eventual decay of complex dynamical systems ranging from cell assemblies to the human brain to animal societies. The multi-faceted problems in this domain require a wide range of methods from various scienti?c disciplines. There is no question that the inclusion of time delays in complex system models considerably enriches the challenges presented by the problems. Although this inclusion often becomes inevitable as real-world applications demand more and more realistic m- els, the role of time delays in the context of complex systems so far has not attracted the interest it deserves. The present volume is an attempt toward ?lling this gap. There exist various useful tools for the study of complex time-delay systems. At the forefront is the mathematical theory of delay equations, a relatively mature ?eld in many aspects, which provides some powerful techniques for analytical inquiries, along with some other tools from statistical physics, graph theory, computer science, dynamical systems theory, probability theory, simulation and optimization software, and so on. Nevertheless, the use of these methods requires a certain synergy to address complex systems problems, especially in the presence of time delays.

Ordinary Differential Equations and Stability Theory

Author : David A. Sánchez
Publisher : Courier Corporation
ISBN 13 : 0486638286
Total Pages : 194 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Ordinary Differential Equations and Stability Theory by : David A. Sánchez

Download or read book Ordinary Differential Equations and Stability Theory written by David A. Sánchez and published by Courier Corporation. This book was released on 1979-01-01 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with a general discussion of the linear equation, topics developed include stability theory for autonomous and nonautonomous systems. Two appendices are also provided, and there are problems at the end of each chapter — 55 in all. Unabridged republication of the original (1968) edition. Appendices. Bibliography. Index. 55 problems.

World Congress of Nonlinear Analysts '92

Author : V. Lakshmikantham
Publisher : Walter de Gruyter
ISBN 13 : 3110883236
Total Pages : 4040 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis World Congress of Nonlinear Analysts '92 by : V. Lakshmikantham

Download or read book World Congress of Nonlinear Analysts '92 written by V. Lakshmikantham and published by Walter de Gruyter. This book was released on 2011-11-14 with total page 4040 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Almost Periodic Type Functions and Ergodicity

Author : Zhang Chuanyi
Publisher : Springer Science & Business Media
ISBN 13 : 9781402011580
Total Pages : 372 pages
Book Rating : 4.0/5 (115 download)

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Book Synopsis Almost Periodic Type Functions and Ergodicity by : Zhang Chuanyi

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.

Selected Topics in Almost Periodicity

Author : Marko Kostić
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.

Functional Differential Equations

Author : Constantin Corduneanu
Publisher : John Wiley & Sons
ISBN 13 : 1119189489
Total Pages : 368 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis Functional Differential Equations by : Constantin Corduneanu

Download or read book Functional Differential Equations written by Constantin Corduneanu and published by John Wiley & Sons. This book was released on 2016-03-25 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features new results and up-to-date advances in modeling and solving differential equations Introducing the various classes of functional differential equations, Functional Differential Equations: Advances and Applications presents the needed tools and topics to study the various classes of functional differential equations and is primarily concerned with the existence, uniqueness, and estimates of solutions to specific problems. The book focuses on the general theory of functional differential equations, provides the requisite mathematical background, and details the qualitative behavior of solutions to functional differential equations. The book addresses problems of stability, particularly for ordinary differential equations in which the theory can provide models for other classes of functional differential equations, and the stability of solutions is useful for the application of results within various fields of science, engineering, and economics. Functional Differential Equations: Advances and Applications also features: • Discussions on the classes of equations that cannot be solved to the highest order derivative, and in turn, addresses existence results and behavior types • Oscillatory motion and solutions that occur in many real-world phenomena as well as in man-made machines • Numerous examples and applications with a specific focus on ordinary differential equations and functional differential equations with finite delay • An appendix that introduces generalized Fourier series and Fourier analysis after periodicity and almost periodicity • An extensive Bibliography with over 550 references that connects the presented concepts to further topical exploration Functional Differential Equations: Advances and Applications is an ideal reference for academics and practitioners in applied mathematics, engineering, economics, and physics. The book is also an appropriate textbook for graduate- and PhD-level courses in applied mathematics, differential and difference equations, differential analysis, and dynamics processes. CONSTANTIN CORDUNEANU, PhD, is Emeritus Professor in the Department of Mathematics at The University of Texas at Arlington, USA. The author of six books and over 200 journal articles, he is currently Associate Editor for seven journals; a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Romanian Academy; and past president of the American Romanian Academy of Arts and Sciences. YIZENG LI, PhD, is Professor in the Department of Mathematics at Tarrant County College, USA. He is a member of the Society for Industrial and Applied Mathematics. MEHRAN MAHDAVI, PhD, is Professor in the Department of Mathematics at Bowie State University, USA. The author of numerous journal articles, he is a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Mathematical Association of America.

Nonautonomous Dynamics

Author : David N. Cheban
Publisher : Springer Nature
ISBN 13 : 3030342921
Total Pages : 434 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Nonautonomous Dynamics by : David N. Cheban

Download or read book Nonautonomous Dynamics written by David N. Cheban and published by Springer Nature. This book was released on 2020-01-22 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary equations. The content is developed over six chapters, providing a thorough introduction to the techniques used in the Chapters III-VI described by Chapter I-II. The author gives a systematic treatment of the basic mathematical theory and constructive methods for Nonautonomous Dynamics. They show how these diverse topics are connected to other important parts of mathematics, including Topology, Functional Analysis and Qualitative Theory of Differential/Difference Equations. Throughout the book a nice balance is maintained between rigorous mathematics and applications (ordinary differential/difference equations, functional differential equations and partial difference equations). The primary readership includes graduate and PhD students and researchers in in the field of dynamical systems and their applications (control theory, economic dynamics, mathematical theory of climate, population dynamics, oscillation theory etc).

Topological Fixed Point Principles for Boundary Value Problems

Author : J. Andres
Publisher : Springer Science & Business Media
ISBN 13 : 9401704074
Total Pages : 771 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Topological Fixed Point Principles for Boundary Value Problems by : J. Andres

Download or read book Topological Fixed Point Principles for Boundary Value Problems written by J. Andres and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 771 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the topological fixed point theory both for single-valued and multivalued mappings in locally convex spaces, including its application to boundary value problems for ordinary differential equations (inclusions) and to (multivalued) dynamical systems. It is the first monograph dealing with the topological fixed point theory in non-metric spaces. Although the theoretical material was tendentiously selected with respect to applications, the text is self-contained. Therefore, three appendices concerning almost-periodic and derivo-periodic single-valued (multivalued) functions and (multivalued) fractals are supplied to the main three chapters.