Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations
Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations

Author: A.A. Pankov

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 231

ISBN-13: 9401196826

DOWNLOAD EBOOK

~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.

Almost Periodic Solutions of Differential Equations in Banach Spaces
Almost Periodic Solutions of Differential Equations in Banach Spaces

Author: Yoshiyuki Hino

Publisher: CRC Press

Published: 2001-10-25

Total Pages: 276

ISBN-13: 9780415272667

DOWNLOAD EBOOK

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 and Almost Automorphic Solutions to Integro-Differential Equations
Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations

Author: Marko Kostić

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2019-05-06

Total Pages: 508

ISBN-13: 3110641259

DOWNLOAD EBOOK

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
Almost Periodic Solutions of Impulsive Differential Equations

Author: Gani T. Stamov

Publisher: Springer Science & Business Media

Published: 2012-03-09

Total Pages: 235

ISBN-13: 3642275451

DOWNLOAD EBOOK

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.

Abstract Volterra Integro-Differential Equations
Abstract Volterra Integro-Differential Equations

Author: Marko Kostic

Publisher:

Published: 2019-09-19

Total Pages: 0

ISBN-13: 9780367377670

DOWNLOAD EBOOK

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 Oscillations and Waves
Almost Periodic Oscillations and Waves

Author: Constantin Corduneanu

Publisher: Springer Science & Business Media

Published: 2009-04-29

Total Pages: 313

ISBN-13: 0387098194

DOWNLOAD EBOOK

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.

Almost Periodic Stochastic Processes
Almost Periodic Stochastic Processes

Author: Paul H. Bezandry

Publisher: Springer Science & Business Media

Published: 2011-04-07

Total Pages: 247

ISBN-13: 1441994769

DOWNLOAD EBOOK

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.