# Difference equations in normed spaces

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## Difference Equations in Normed Spaces

Author | : Michael Gil |

Publsiher | : Elsevier |

Total Pages | : 378 |

Release | : 2007-01-08 |

ISBN 10 | : 9780080469355 |

ISBN 13 | : 0080469353 |

Language | : EN, FR, DE, ES & NL |

**Difference Equations in Normed Spaces Book Review:**

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

## Regularity of Difference Equations on Banach Spaces

Author | : Ravi P. Agarwal,Claudio Cuevas,Carlos Lizama |

Publsiher | : Springer |

Total Pages | : 208 |

Release | : 2014-06-13 |

ISBN 10 | : 3319064479 |

ISBN 13 | : 9783319064475 |

Language | : EN, FR, DE, ES & NL |

**Regularity of Difference Equations on Banach Spaces Book Review:**

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 area of difference equations, particularly those with advance knowledge of and interest in functional analysis.

## Difference Equations in Normed Spaces

Author | : Michael Gil |

Publsiher | : Elsevier Science |

Total Pages | : 378 |

Release | : 2007-03-22 |

ISBN 10 | : 9780444527134 |

ISBN 13 | : 0444527133 |

Language | : EN, FR, DE, ES & NL |

**Difference Equations in Normed Spaces Book Review:**

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

## Asymptotics of Analytic Difference Equations

Author | : G. K. Immink |

Publsiher | : Springer |

Total Pages | : 140 |

Release | : 2006-12-08 |

ISBN 10 | : 354039060X |

ISBN 13 | : 9783540390602 |

Language | : EN, FR, DE, ES & NL |

**Asymptotics of Analytic Difference Equations Book Review:**

## Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces

Author | : Anatoly M. Samoilenko,Yuriy V. Teplinsky |

Publsiher | : World Scientific |

Total Pages | : 408 |

Release | : 2013 |

ISBN 10 | : 9814434833 |

ISBN 13 | : 9789814434836 |

Language | : EN, FR, DE, ES & NL |

**Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces Book Review:**

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 of extendibility of the solutions in degenerate cases. For nonlinear differential equations in spaces of bounded number sequences, new results are obtained in the theory of countable-point boundary-value problems. The book contains new mathematical results that will be useful towards advances in nonlinear mechanics and theoretical physics.

## New Trends in Differential and Difference Equations and Applications

Author | : Feliz Manuel Minhós,João Fialho |

Publsiher | : MDPI |

Total Pages | : 198 |

Release | : 2019-10-14 |

ISBN 10 | : 3039215388 |

ISBN 13 | : 9783039215386 |

Language | : EN, FR, DE, ES & NL |

**New Trends in Differential and Difference Equations and Applications Book Review:**

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, for future works, the techniques used.

## Limit Theorems for Solutions of Stochastic Difference Equations in Banach Spaces with Applications

Author | : Valerij A. Kovalʹ,Rainer Schwabe |

Publsiher | : Unknown |

Total Pages | : 10 |

Release | : 1997 |

ISBN 10 | : |

ISBN 13 | : OCLC:722400465 |

Language | : EN, FR, DE, ES & NL |

**Limit Theorems for Solutions of Stochastic Difference Equations in Banach Spaces with Applications Book Review:**

## Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces

Author | : Behzad Djafari Rouhani |

Publsiher | : CRC Press |

Total Pages | : 450 |

Release | : 2019-03-15 |

ISBN 10 | : 0429528884 |

ISBN 13 | : 9780429528880 |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces Book Review:**

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.

## Almost Periodic Solutions of Differential Equations in Banach Spaces

Author | : Yoshiyuki Hino,Toshiki Naito,Nguyen VanMinh,Jong Son Shin |

Publsiher | : CRC Press |

Total Pages | : 264 |

Release | : 2001-10-25 |

ISBN 10 | : 9780415272667 |

ISBN 13 | : 0415272661 |

Language | : EN, FR, DE, ES & NL |

**Almost Periodic Solutions of Differential Equations in Banach Spaces Book Review:**

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.

## Conditions for Exponential Stability of Difference Equations in Banach Spaces

Author | : Mihail Megan,Petre Preda |

Publsiher | : Unknown |

Total Pages | : 11 |

Release | : 1988 |

ISBN 10 | : |

ISBN 13 | : OCLC:456523848 |

Language | : EN, FR, DE, ES & NL |

**Conditions for Exponential Stability of Difference Equations in Banach Spaces Book Review:**

## Advances in Difference Equations

Author | : Saber N. Elaydi,I. Gyori,G. Ladas |

Publsiher | : CRC Press |

Total Pages | : 704 |

Release | : 1998-01-29 |

ISBN 10 | : 9789056995218 |

ISBN 13 | : 9056995219 |

Language | : EN, FR, DE, ES & NL |

**Advances in Difference Equations Book Review:**

The recent surge in research activity in difference equations and applications has been driven by the wide applicability of discrete models to such diverse fields as biology, engineering, physics, economics, chemistry, and psychology. The 68 papers that make up this book were presented by an international group of experts at the Second International Conference on Difference Equations, held in Veszprém, Hungary, in August, 1995. Featuring contributions on such topics as orthogonal polynomials, control theory, asymptotic behavior of solutions, stability theory, special functions, numerical analysis, oscillation theory, models of vibrating string, models of chemical reactions, discrete competition systems, the Liouville-Green (WKB) method, and chaotic phenomena, this volume offers a comprehensive review of the state of the art in this exciting field.

## Conditions for exponential stability of difference equations in Banach spaces

Author | : Mihail Megan,Petre Preda |

Publsiher | : Unknown |

Total Pages | : 11 |

Release | : 1988 |

ISBN 10 | : |

ISBN 13 | : OCLC:35466035 |

Language | : EN, FR, DE, ES & NL |

**Conditions for exponential stability of difference equations in Banach spaces Book Review:**

## Regularity of Difference Equations on Banach Spaces

Author | : Ravi Agarwal,Claudio Cuevas,Carlos Lizama |

Publsiher | : Unknown |

Total Pages | : 226 |

Release | : 2014-07-31 |

ISBN 10 | : 9783319064482 |

ISBN 13 | : 3319064487 |

Language | : EN, FR, DE, ES & NL |

**Regularity of Difference Equations on Banach Spaces Book Review:**

## New Developments in Difference Equations and Applications

Author | : SuiSun Cheng |

Publsiher | : Routledge |

Total Pages | : 380 |

Release | : 2017-09-29 |

ISBN 10 | : 1351428802 |

ISBN 13 | : 9781351428804 |

Language | : EN, FR, DE, ES & NL |

**New Developments in Difference Equations and Applications Book Review:**

The late Professor Ming-Po Chen was instrumental in making the Third International Conference on Difference Equations a great success. Dedicated to his memory, these proceedings feature papers presented by many of the most prominent mathematicians in the field. It is a comprehensive collection of the latest developments in topics including stability theory, combinatorics, asymptotics, partial difference equations, as well as applications to biological, social, and natural sciences. This volume is an indispensable reference for academic and applied mathematicians, theoretical physicists, systems engineers, and computer and information scientists.

## Progress on Difference Equations and Discrete Dynamical Systems

Author | : Steve Baigent,Martin Bohner,Saber Elaydi |

Publsiher | : Springer Nature |

Total Pages | : 448 |

Release | : 2021-01-04 |

ISBN 10 | : 3030601072 |

ISBN 13 | : 9783030601072 |

Language | : EN, FR, DE, ES & NL |

**Progress on Difference Equations and Discrete Dynamical Systems Book Review:**

This book comprises selected papers of the 25th International Conference on Difference Equations and Applications, ICDEA 2019, held at UCL, London, UK, in June 2019. The volume details the latest research on difference equations and discrete dynamical systems, and their application to areas such as biology, economics, and the social sciences. Some chapters have a tutorial style and cover the history and more recent developments for a particular topic, such as chaos, bifurcation theory, monotone dynamics, and global stability. Other chapters cover the latest personal research contributions of the author(s) in their particular area of expertise and range from the more technical articles on abstract systems to those that discuss the application of difference equations to real-world problems. The book is of interest to both Ph.D. students and researchers alike who wish to keep abreast of the latest developments in difference equations and discrete dynamical systems.

## Differential and Difference Equations with Applications

Author | : Sandra Pinelas,Michel Chipot,Zuzana Dosla |

Publsiher | : Springer Science & Business Media |

Total Pages | : 665 |

Release | : 2013-09-21 |

ISBN 10 | : 1461473330 |

ISBN 13 | : 9781461473336 |

Language | : EN, FR, DE, ES & NL |

**Differential and Difference Equations with Applications Book Review:**

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 to promote the exchange of ideas and research. The papers cover all areas of differential and difference equations with a special emphasis on applications.

## New Trends in Difference Equations

Author | : Saber N. Elaydi,J. LopezFenner,G. Ladas,M. Pinto |

Publsiher | : CRC Press |

Total Pages | : 320 |

Release | : 2002-02-28 |

ISBN 10 | : 9780415283892 |

ISBN 13 | : 0415283892 |

Language | : EN, FR, DE, ES & NL |

**New Trends in Difference Equations Book Review:**

This series on the International Conference on Difference Equations and Applications has established a tradition within the mathematical community. It brings together scientists from many different areas of research to highlight current interests, challenges and unsolved problems. This volume comprises selected papers presented at the Fifth International Conference on Difference Equations, held at Temuco, Chile. Experts from around the globe examine many facets of difference equations, including extended hyperbolic difference equations, oscillation criteria, invertability, one- and two-dimensional perturbed maps and much more. It provides a valuable source of reference for graduates and researchers.

## Advances in Differential and Difference Equations with Applications 2020

Author | : Dumitru Baleanu |

Publsiher | : MDPI |

Total Pages | : 348 |

Release | : 2021-01-20 |

ISBN 10 | : 3039368702 |

ISBN 13 | : 9783039368709 |

Language | : EN, FR, DE, ES & NL |

**Advances in Differential and Difference Equations with Applications 2020 Book Review:**

It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.

## Mathematics of the USSR

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 1978 |

ISBN 10 | : |

ISBN 13 | : UCAL:B4483079 |

Language | : EN, FR, DE, ES & NL |

**Mathematics of the USSR Book Review:**

## Proceedings of the First International Conference on Difference Equations

Author | : John R. Graef,Saber Elaydi,G. Ladas |

Publsiher | : CRC Press |

Total Pages | : 512 |

Release | : 1995-12-01 |

ISBN 10 | : 9782884491457 |

ISBN 13 | : 2884491457 |

Language | : EN, FR, DE, ES & NL |

**Proceedings of the First International Conference on Difference Equations Book Review:**

This volume presents papers delivered at the First International Conference on Difference Equations (FICDE) held at Trinity University in San Antonio, Texas, USA. During the course of this meeting, 66 papers were presented by participants from across the United States and more than 20 other countries. Topics of papers include chaotic dynamics, mathematical biology, robust control theory, stochastic differential systems, dynamics of satellite and rocket systems, theory of orthogonal polynomials, and epidemiological modelling. Many current expository papers will be of value to students and researchers in the mathematical and physical sciences.