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

Difference Equations in Normed Spaces

Difference Equations in Normed Spaces
  • Author : Michael Gil
  • Publisher : Elsevier Science
  • Release : 22 March 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

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

Difference Equations
  • Author : Ronald E. Mickens
  • Publisher : CRC Press
  • Release : 06 March 2015
GET THIS BOOK Difference Equations

Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of difference equations. Along with adding several advanced to

Advances in Difference Equations and Discrete Dynamical Systems

Advances in Difference Equations and Discrete Dynamical Systems
  • Author : Saber Elaydi,Yoshihiro Hamaya,Hideaki Matsunaga,Christian Pötzsche
  • Publisher : Springer
  • Release : 13 November 2017
GET THIS BOOK Advances in Difference Equations and Discrete Dynamical Systems

This volume contains the proceedings of the 22nd International Conference on Difference Equations and Applications, held at Osaka Prefecture University, Osaka, Japan, in July 2016. The conference brought together both experts and novices in the theory and applications of difference equations and discrete dynamical systems. The volume features papers in difference equations and discrete dynamical systems with applications to mathematical sciences and, in particular, mathematical biology and economics. This book will appeal to researchers, scientists, and educators who work in the

Form Symmetries and Reduction of Order in Difference Equations

Form Symmetries and Reduction of Order in Difference Equations
  • Author : Hassan Sedaghat
  • Publisher : CRC Press
  • Release : 24 May 2011
GET THIS BOOK Form Symmetries and Reduction of Order in Difference Equations

Form Symmetries and Reduction of Order in Difference Equations presents a new approach to the formulation and analysis of difference equations in which the underlying space is typically an algebraic group. In some problems and applications, an additional algebraic or topological structure is assumed in order to define equations and obtain significant results about them. Reflecting the author’s past research experience, the majority of examples involve equations in finite dimensional Euclidean spaces. The book first introduces difference equations on

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

Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces

Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces
  • Author : Behzad Djafari Rouhani
  • Publisher : CRC Press
  • Release : 20 May 2019
GET THIS BOOK Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces

This book is devoted to the study of non-linear evolution and difference equations of first or second order governed by maximal monotone operator. This class of abstract evolution equations contains ordinary differential equations, as well as the unification of some important partial differential equations including heat equation, wave equation, Schrodinger equation, etc. The book contains a collection of the authors' work and applications in this field, as well as those of other authors.

Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces

Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces
  • Author : Anatoly M. Samoilenko,Yuriy V. Teplinsky
  • Publisher : World Scientific
  • Release : 18 January 2022
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

Qualitative Theory of Volterra Difference Equations

Qualitative Theory of Volterra Difference Equations
  • Author : Youssef N. Raffoul
  • Publisher : Springer
  • Release : 12 September 2018
GET THIS BOOK Qualitative Theory of Volterra Difference Equations

This book provides a comprehensive and systematic approach to the study of the qualitative theory of boundedness, periodicity, and stability of Volterra difference equations. The book bridges together the theoretical aspects of Volterra difference equations with its applications to population dynamics. Applications to real-world problems and open-ended problems are included throughout. This book will be of use as a primary reference to researchers and graduate students who are interested in the study of boundedness of solutions, the stability of the

Geometric Theory of Discrete Nonautonomous Dynamical Systems

Geometric Theory of Discrete Nonautonomous Dynamical Systems
  • Author : Christian Pötzsche
  • Publisher : Springer
  • Release : 24 August 2010
GET THIS BOOK Geometric Theory of Discrete Nonautonomous Dynamical Systems

Nonautonomous dynamical systems provide a mathematical framework for temporally changing phenomena, where the law of evolution varies in time due to seasonal, modulation, controlling or even random effects. Our goal is to provide an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems in infinite-dimensional spaces by virtue of 2-parameter semigroups (processes). These dynamical systems are generated by implicit difference equations, which explicitly depend on time. Compactness and dissipativity conditions are provided for such problems in order to

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

Theory Of Difference Equations Numerical Methods And Applications

Theory Of Difference Equations Numerical Methods And Applications
  • Author : V. Lakshmikantham,V. Trigiante
  • Publisher : CRC Press
  • Release : 12 June 2002
GET THIS BOOK Theory Of Difference Equations Numerical Methods And Applications

"Provides a clear and comprehensive overview of the fundamental theories, numerical methods, and iterative processes encountered in difference calculus. Explores classical problems such as orthological polynomials, the Euclidean algorithm, roots of polynomials, and well-conditioning."