Almost Periodic Differential Equations PDF Download

Author: A.M. Fink
Publisher: Springer
ISBN: 3540383077
Category : Mathematics
Languages : en
Pages : 345

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Book Description

Author: B. M. Levitan
Publisher: CUP Archive
ISBN: 9780521244077
Category : Mathematics
Languages : en
Pages : 232

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Book Description

Author: Gani T. Stamov
Publisher: Springer Science & Business Media
ISBN: 3642275451
Category : Mathematics
Languages : en
Pages : 235

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Book Description
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.

Author: Arlington M. Fink
Publisher: Springer
ISBN: 9780387067292
Category : Almost periodic functions
Languages : en
Pages : 336

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Book Description

Author: Marko Kostić
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110641259
Category : Mathematics
Languages : en
Pages : 372

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Book Description
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.

Author: Paul H. Bezandry
Publisher: Springer Science & Business Media
ISBN: 1441994769
Category : Mathematics
Languages : en
Pages : 235

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Book Description
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.

Author: Toka Diagana
Publisher: Springer Science & Business Media
ISBN: 3319008498
Category : Mathematics
Languages : en
Pages : 303

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Book Description
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.

Author: Constantin Corduneanu
Publisher: Springer Science & Business Media
ISBN: 0387098194
Category : Mathematics
Languages : en
Pages : 313

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Book Description
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.

Author: Harald Bohr
Publisher: Courier Dover Publications
ISBN: 0486822370
Category : Mathematics
Languages : en
Pages : 129

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Book Description
Starting with a discussion of periodic functions, this groundbreaking exposition advances to the almost periodic case. An appendix covers the almost periodic functions of a complex variable. 1947 edition.

Author: Zhang Chuanyi
Publisher: Springer Science & Business Media
ISBN: 9781402011580
Category : Mathematics
Languages : en
Pages : 372

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Book Description
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.