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- Difference Equations in Normed Spaces

- Author : Michael Gil
- Publsiher : Elsevier
- Release : 08 January 2007
- ISBN : 9780080469355
- Pages : 378 pages
- Rating : 4/5 from 21 reviews

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Read or download book entitled Difference Equations in Normed Spaces written by Michael Gil which was release on 08 January 2007, this book published by Elsevier. Available in PDF, EPUB and Kindle Format. Book excerpt: 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

- Author : Michael Gil
- Publisher : Elsevier
- Release Date : 2007-01-08
- Total pages : 378
- ISBN : 9780080469355

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**Summary :** 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 ...

- Author : Michael Gil
- Publisher : Elsevier Science
- Release Date : 2007-03-22
- Total pages : 378
- ISBN : 9780080469355

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**Summary :** 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 ...

- Author : Ravi P. Agarwal,Claudio Cuevas,Carlos Lizama
- Publisher : Springer
- Release Date : 2014-06-13
- Total pages : 208
- ISBN : 9780080469355

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**Summary :** 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 ...

- Author : Feliz Manuel Minhós,João Fialho
- Publisher : MDPI
- Release Date : 2019-10-14
- Total pages : 198
- ISBN : 9780080469355

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**Summary :** 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 ...

- Author : Ronald E. Mickens
- Publisher : CRC Press
- Release Date : 2015-03-06
- Total pages : 555
- ISBN : 9780080469355

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**Summary :** 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...

- Author : Saber Elaydi,Yoshihiro Hamaya,Hideaki Matsunaga,Christian Pötzsche
- Publisher : Springer
- Release Date : 2017-11-13
- Total pages : 282
- ISBN : 9780080469355

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**Summary :** 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 ...

- Author : Hassan Sedaghat
- Publisher : CRC Press
- Release Date : 2011-05-24
- Total pages : 325
- ISBN : 9780080469355

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**Summary :** 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 ...

- Author : A. Ashyralyev,P.E. Sobolevskii
- Publisher : Birkhäuser
- Release Date : 2012-12-06
- Total pages : 353
- ISBN : 9780080469355

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**Summary :** 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 ...

- Author : Anatoly M. Samoilenko,Yuriy V. Teplinsky
- Publisher : World Scientific
- Release Date : 2013
- Total pages : 408
- ISBN : 9780080469355

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**Summary :** 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 ...

- Author : Youssef N. Raffoul
- Publisher : Springer
- Release Date : 2018-09-12
- Total pages : 324
- ISBN : 9780080469355

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**Summary :** 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 ...

- Author : Behzad Djafari Rouhani
- Publisher : CRC Press
- Release Date : 2019-05-20
- Total pages : 450
- ISBN : 9780080469355

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**Summary :** 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 ...

- Author : Sandra Pinelas,John R. Graef,Stefan Hilger,Peter Kloeden,Christos Schinas
- Publisher : Springer Nature
- Release Date : 2020-10-21
- Total pages : 778
- ISBN : 9780080469355

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**Summary :** This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019. First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular ...

- Author : Christian Pötzsche
- Publisher : Springer
- Release Date : 2010-08-24
- Total pages : 399
- ISBN : 9780080469355

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**Summary :** 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 ...

- Author : Saber Elaydi,Christian Pötzsche,Adina Luminiţa Sasu
- Publisher : Springer
- Release Date : 2019-06-29
- Total pages : 382
- ISBN : 9780080469355

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**Summary :** 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, ...

- Author : Sandra Pinelas,Michel Chipot,Zuzana Dosla
- Publisher : Springer Science & Business Media
- Release Date : 2013-09-21
- Total pages : 665
- ISBN : 9780080469355

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**Summary :** The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada – Azores, from July 4-8, 2011 in honor of Professor Ravi P. Agarwal. The objective of the gathering was to bring together researchers in the fields of differential & difference equations and ...