Almost Periodic Solutions Of Differential Equations In Banach Spaces


Almost Periodic Solutions Of Differential Equations In Banach Spaces
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Almost Periodic Solutions Of Differential Equations In Banach Spaces


Almost Periodic Solutions Of Differential Equations In Banach Spaces
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Author : Yoshiyuki Hino
language : en
Publisher: CRC Press
Release Date : 2001-10-25

Almost Periodic Solutions Of Differential Equations In Banach Spaces written by Yoshiyuki Hino and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-25 with Mathematics categories.


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.



Almost Periodic Solutions Of Differential Equations In Banach Spaces


Almost Periodic Solutions Of Differential Equations In Banach Spaces
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Author : Yoshiyuki Hino
language : en
Publisher: G & B Pub
Release Date : 2001-05-01

Almost Periodic Solutions Of Differential Equations In Banach Spaces written by Yoshiyuki Hino and has been published by G & B Pub this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-01 with Mathematics categories.


The authors present 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, a new approach based on the so-called evolution semigroups with an original decomposition technique is systematically presented. The monograph also includes extensions of classical methods, such as fixed points and stability methods, to abstract functional differential equations with applications to partial functional differential equations.



Pseudo Almost Periodic Functions In Banach Spaces


Pseudo Almost Periodic Functions In Banach Spaces
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Author : Toka Diagana
language : en
Publisher: Nova Publishers
Release Date : 2007

Pseudo Almost Periodic Functions In Banach Spaces written by Toka Diagana and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.




Almost Periodic Differential Equations


Almost Periodic Differential Equations
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Author : A.M. Fink
language : en
Publisher: Springer
Release Date : 2006-11-15

Almost Periodic Differential Equations written by A.M. Fink and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




Almost Periodic Solutions Of Impulsive Differential Equations


Almost Periodic Solutions Of Impulsive Differential Equations
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Author : Gani T. Stamov
language : en
Publisher: Springer
Release Date : 2012-03-08

Almost Periodic Solutions Of Impulsive Differential Equations written by Gani T. Stamov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-08 with Mathematics categories.


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.



Selected Topics In Almost Periodicity


Selected Topics In Almost Periodicity
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Author : Marko Kostić
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-11-22

Selected Topics In Almost Periodicity written by Marko Kostić and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-22 with Mathematics categories.


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 Periodic And Almost Automorphic Solutions To Integro Differential Equations


Almost Periodic And Almost Automorphic Solutions To Integro Differential Equations
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Author : Marko Kostić
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-05-06

Almost Periodic And Almost Automorphic Solutions To Integro Differential Equations written by Marko Kostić and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-06 with Mathematics categories.


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


Almost Automorphic Type And Almost Periodic Type Functions In Abstract Spaces
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Author : Toka Diagana
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-13

Almost Automorphic Type And Almost Periodic Type Functions In Abstract Spaces written by Toka Diagana and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-13 with Mathematics categories.


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


Metrical Almost Periodicity And Applications To Integro Differential Equations
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Author : Marko Kostić
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-06-06

Metrical Almost Periodicity And Applications To Integro Differential Equations written by Marko Kostić and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-06 with Mathematics categories.


The theory of almost periodic functions is a very active field of research for scholars. This research monograph analyzes various classes of multi-dimensional metrically almost periodic type functions with values in complex Banach spaces. We provide many applications of our theoretical results to the abstract Volterra integro-differential inclusions in Banach spaces.



Almost Periodic Stochastic Processes


Almost Periodic Stochastic Processes
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Author : Paul H. Bezandry
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-07

Almost Periodic Stochastic Processes written by Paul H. Bezandry and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-07 with Mathematics categories.


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.