Nova Publishers
My Account Nova Publishers Shopping Cart
HomeBooksSeriesJournalsReference CollectionseBooksInformationSalesImprintsFor Authors
            
  Top » Catalog » Ebooks » Science and Technology » Mathematics » My Account  |  Cart Contents  |  Checkout   
Quick Find
  
Use keywords to find the product you are looking for.
Advanced Search
What's New? more
Advances in Pattern Recognition Research
$160.00
Shopping Cart more
0 items
Information
Shipping & Returns
Privacy Notice
Conditions of Use
Contact Us
Bestsellers
01.Advanced Mathematics for Engineers with Applications in Stochastic Processes
02.Computational Partial Differential Equations for Engineering Science
03.Introduction to Graph and Hypergraph Theory
04.Nonlinear Numerical Analysis in Reproducing Kernel Space
05.Abstract Algebra Manual: Problems and Solutions
06.An Introduction to Fractional Calculus
07.Game Theory and Applications. Volume 16
08.Kinematic-Wave Rainfall-Runoff Formulas
09.Lie Groups: New Research
10.Non-Archimedean Linear Operators and Applications
Notifications more
NotificationsNotify me of updates to Spectral Theory for Bounded Functions and Applications to Evolution Equations
Tell A Friend
 
Tell someone you know about this product.
Spectral Theory for Bounded Functions and Applications to Evolution Equations $82.00
Authors: Gaston Mandata NíGuerekata (School of Computer Mathematical and Natural Sciences, Morgan State University, Baltimore, USA) 
Book Description:
One of the central questions in the qualitative theory of difference and differential equations is to find the conditions of existence and asymptotic behavior of bounded solutions. For equations with almost periodic coefficients, the problem goes back to Favard and Perron. A remarkable theory has been developed in harmonic analysis with outstanding contributions by Loomis, Arendt, Batty, Lyubic, Phong, Naito, Minh and many others, when the Carleman spectrum of the functions is countable. Uniform continuity in this case plays a key role. In the absence of this condition, the theory does not apply. This lead to the introduction over the last decade of new types of spectrum of functions which helped solve the problem, especially in the case of almost automorphic functions, using the theory of commutating operators.

This monograph presents in a unique and unified manner recent developments in the theory of spectra of bounded continuous functions including the space of (Bohr) almost periodic functions and some of their generalizations, and the spaces of (Bochner) almost automorphic functions and almost automorphic sequences. Classical concepts from harmonic analysis such as the Bohr spectrum, Beurling spectrum and Carleman spectrum are also presented with some examples. A special attention is devoted to the recently introduced concepts of uniform spectrum and circular spectrum of bounded functions derived from the study of the existence of solutions of linear differential equations whose forcing terms are not necessarily uniformly continuous. Connections between these various types of spectrum are also investigated. As applications the book provides a semigroup-free study of the existence and asymptotic behavior of mild solutions of evolution equations of the first and second order, and difference equations. Bibliographical and historical notes complete the major chapters. An appendix on basic results on the theory of commutating operators is given. The content is presented in a way that is easily accessible to readers who are working in differential equations but are not familiar with harmonic analysis and advanced functional analysis. Itís our hope that this first monograph ever on this topic will attract more researchers. (Imprint: Nova)


Book Review

Mathematical Reviews Clippings - Reviewed by Dr. Syed Abbas, Professor, Indian Institute of Technology Mandi, India


Table of Contents:
Preface

Chapter One. Preliminaries

Chapter Two. Almost Periodic Functions

Chapter Three. Almost Automorphic Functions and Sequences

Chapter Four. Spectrum of Bounded Functions

Chapter Five. Applications to Differential Equations

Appendix

Index

   Series:
      Mathematics Research Developments
   Binding: ebook
   Pub. Date: 2017 - 3rd Quarter
   Pages: 6x9 - NBC-C
   ISBN: 978-1-53612-143-8
   Status: AV
  
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
  
Available Options:
Version:
Special Focus Titles
01.Peter Singerís Ethics: A Critical Appraisal
02.Sexism: Past, Present and Future Perspectives
03.Body and Politics: Elite Disability Sport in China
04.Childhood and Adolescence: Tribute to Emanuel Chigier, 1928-2017
05.Renal Replacement Therapy: Controversies and Future Trends
06.Food-Drug Interactions: Pharmacokinetics, Prevention and Potential Side Effects
07.Terrorism and Violence in Islamic History and Theological Responses to the Arguments of Terrorists
08.International Event Management: Bridging the Gap between Theory and Practice
09.The Sino-Indian Border War and the Foreign Policies of China and India (1950-1965)
10.Tsunamis: Detection, Risk Assessment and Crisis Management
11.Sediment Watch: Monitoring, Ecological Risk Assessment and Environmental Management
12.Self-Regulated Learners: Strategies, Performance, and Individual Differences

Nova Science Publishers
© Copyright 2004 - 2018

Spectral Theory for Bounded Functions and Applications to Evolution Equations