Difference Equations in Normed Spaces

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  • Author : Michael Gil
  • Publisher : Elsevier
  • Pages : 378 pages
  • ISBN : 9780080469355
  • Rating : /5 from reviews
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Download or Read online Difference Equations in Normed Spaces full in PDF, ePub and kindle. this book written by Michael Gil and published by Elsevier which was released on 08 January 2007 with total page 378 pages. We cannot guarantee that Difference Equations in Normed Spaces book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. Difference equations appear as natural descriptions of observed evolution phenomena because most measurements of time evolving variables are discrete. They also appear in the applications of discretization methods for differential, integral and integro-differential equations. The application of the theory of difference equations is rapidly increasing to various fields, such as numerical analysis, control theory, finite mathematics, and computer sciences. This book is devoted to linear and nonlinear difference equations in a normed space. The main methodology presented in this book is based on a combined use of recent norm estimates for operator-valued functions with the following methods and results: The freezing method The Liapunov type equation The method of majorants The multiplicative representation of solutions Deals systematically with difference equations in normed spaces Considers new classes of equations that could not be studied in the frameworks of ordinary and partial difference equations Develops the freezing method and presents recent results on Volterra discrete equations Contains an approach based on the estimates for norms of operator functions

Difference Equations in Normed Spaces

Difference Equations in Normed Spaces
  • Author : Michael Gil
  • Publisher : Elsevier
  • Release : 08 January 2007
GET THIS BOOK Difference Equations in Normed Spaces

Difference equations appear as natural descriptions of observed evolution phenomena because most measurements of time evolving variables are discrete. They also appear in the applications of discretization methods for differential, integral and integro-differential equations. The application of the theory of difference equations is rapidly increasing to various fields, such as numerical analysis, control theory, finite mathematics, and computer sciences. This book is devoted to linear and nonlinear difference equations in a normed space. The main methodology presented in this book

Regularity of Difference Equations on Banach Spaces

Regularity of Difference Equations on Banach Spaces
  • Author : Ravi P. Agarwal,Claudio Cuevas,Carlos Lizama
  • Publisher : Springer
  • Release : 13 June 2014
GET THIS BOOK Regularity of Difference Equations on Banach Spaces

This work introduces readers to the topic of maximal regularity for difference equations. The authors systematically present the method of maximal regularity, outlining basic linear difference equations along with relevant results. They address recent advances in the field, as well as basic semi group and cosine operator theories in the discrete setting. The authors also identify some open problems that readers may wish to take up for further research. This book is intended for graduate students and researchers in the

Partial Difference Equations

Partial Difference Equations
  • Author : Sui Sun Cheng
  • Publisher : CRC Press
  • Release : 06 February 2003
GET THIS BOOK Partial Difference Equations

Partial Difference Equations treats this major class of functional relations. Such equations have recursive structures so that the usual concepts of increments are important. This book describes mathematical methods that help in dealing with recurrence relations that govern the behavior of variables such as population size and stock price. It is helpful for anyone who has mastered undergraduate mathematical concepts. It offers a concise introduction to the tools and techniques that have proven successful in obtaining results in partial difference

Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces

Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces
  • Author : Anatoly M Samoilenko,Yuri V Teplinsky
  • Publisher : World Scientific
  • Release : 03 May 2013
GET THIS BOOK Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces

Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of their invariant sets, and the basics for a theory of invariant tori and bounded semi-invariant manifolds are established. Also considered are the questions on existence and approximate construction of periodic solutions for difference equations in infinite-dimensional spaces and the problem

New Trends in Differential and Difference Equations and Applications

New Trends in Differential and Difference Equations and Applications
  • Author : Feliz Manuel Minhós,João Fialho
  • Publisher : MDPI
  • Release : 14 October 2019
GET THIS BOOK New Trends in Differential and Difference Equations and Applications

This Special Issue aims to be a compilation of new results in the areas of differential and difference Equations, covering boundary value problems, systems of differential and difference equations, as well as analytical and numerical methods. The objective is to provide an overview of techniques used in these different areas and to emphasize their applicability to real-life phenomena, by the inclusion of examples. These examples not only clarify the theoretical results presented, but also provide insight on how to apply,

Difference Equations Discrete Dynamical Systems and Applications

Difference Equations  Discrete Dynamical Systems and Applications
  • Author : Saber Elaydi,Christian Pötzsche,Adina Luminiţa Sasu
  • Publisher : Springer
  • Release : 29 June 2019
GET THIS BOOK Difference Equations Discrete Dynamical Systems and Applications

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

Well Posedness of Parabolic Difference Equations

Well Posedness of Parabolic Difference Equations
  • Author : A. Ashyralyev,P.E. Sobolevskii
  • Publisher : Birkhäuser
  • Release : 06 December 2012
GET THIS BOOK Well Posedness of Parabolic Difference Equations

A well-known and widely applied method of approximating the solutions of problems in mathematical physics is the method of difference schemes. Modern computers allow the implementation of highly accurate ones; hence, their construction and investigation for various boundary value problems in mathematical physics is generating much current interest. The present monograph is devoted to the construction of highly accurate difference schemes for parabolic boundary value problems, based on Padé approximations. The investigation is based on a new notion of positivity

Norm Estimations for Operator Valued Functions and Their Applications

Norm Estimations for Operator Valued Functions and Their Applications
  • Author : Michael Gil
  • Publisher : CRC Press
  • Release : 16 August 1995
GET THIS BOOK Norm Estimations for Operator Valued Functions and Their Applications

Intended for specialists in functional analysis and stability theory, this work presents a systematic exposition of estimations for norms of operator-valued functions, and applies the estimates to spectrum perturbations of linear operators and stability theory. The author demonstrates his own approach to spectrum perturbations.