# 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.

## 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.

## 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.

## Partial Difference Equations

Author | : Sui Sun Cheng |

Publsiher | : CRC Press |

Total Pages | : 288 |

Release | : 2003-02-06 |

ISBN 10 | : 9780415298841 |

ISBN 13 | : 0415298849 |

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

**Partial Difference Equations Book Review:**

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 equations.

## 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.

## Difference Equations Discrete Dynamical Systems and Applications

Author | : Saber Elaydi,Christian Pötzsche,Adina Luminiţa Sasu |

Publsiher | : Springer |

Total Pages | : 382 |

Release | : 2019-06-29 |

ISBN 10 | : 3030200167 |

ISBN 13 | : 9783030200169 |

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

**Difference Equations Discrete Dynamical Systems and Applications Book Review:**

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 field.

## Stochastic Differential and Difference Equations

Author | : Imre Csiszár,György Michaletzky |

Publsiher | : Springer Science & Business Media |

Total Pages | : 353 |

Release | : 1997 |

ISBN 10 | : 9780817639716 |

ISBN 13 | : 0817639713 |

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

**Stochastic Differential and Difference Equations Book Review:**

The Conference on Stochastic Differential Equations held at Gyor, Hungary in August of 1996 was organized jointly by Eotvos Lorand University, Budapest and Kossuth Lajos University Debrecen. It was a satellite event to the 4th World Congress of the Bernoulli society, sponsored by several regional and executive committees of the Society. The papers accepted for publication in the volume come from all over the world and cover almost all contemporary research areas in the field of stochastic equations with many applications to the field of control. The coverage of the book focuses mainly on stochastic partial differential equations and related random fields and on discrete and continuous time parameter ARMA processes and, as well as stochastic differential equations in general. Research workers in stochastics and control theory will find a wide variety of new and fresh ideas expounded in the chapters of this volume. Series: Progress in Systems and Control Theory, Volume 23 Contents: Preface Gyor. The Conference Venue List of Participants Periodically Correlated Solutions to a Class of Stochastic Difference Equations/G.N. Boshnakov On Nonlinear SDE's whose Densities Evolve in a Finite-Dimensional Family/D. Brigo Composition of Skeletons and Support Theorems/M.E. Caballero, B. Fernandez, D. Nualart Invariant Measure for a Wave Equation on a Riemannian Manifold/A.B.Cruzeiro and Z. Haba Ergodic Distributed Control for Parameter Dependent Stochastic Semilinear Systems/T. E. Duncan, B. Maslowski, and B. Pasik-Duncan Dirichlet Forms, Caccioppoli Sets and the Skorohod Equation/M. Fukushima Rate of Convergence of Moments of Spall's SPSA Method/L. Gerencser General Setting for Stochastic Processes Associated with Quantum Fields/S. Albeverio, R. Gielerak, F. Russo On a Class of Semilinear Stochastic Partial Differential Equations/I. Gyongy Parallel Numerical Solution of a Class of Volterra Integro-Differential Equations/G. Heber, C. Lindemann On the Laws of the Oseledets Spaces of Linear Stochastic Differential Equations/P. Imkeller On Stationarity of Additive Bilinear State-space Representation of Time Series/M. Ispany On Convergence of Approximations of Ito-Volterra Equations/A. Kolodii Non-isotropic Ornstein-Uhlenbeck Process and White Noise Analysis/I. Kubo Stochastic Processes with Independent Increments on a Lie Group and their Selfsimilar Properties/H. Kunita Optimal Damping of Forced Oscillations Discrete-time Systems by Output Feedback/A. Lindquist and V. A. Yakubovich Forecast of Levy's Brownian Motion as the Observation Domain Undergoes Deformation/L. Markus A Maximal Inequity for the Skorohod Integral/E. Alós and D. Nualart On the Kinematics of Stochastic Mechanics/M. Pavon Stochastic Equations in Formal Mappings/I. Spectorsky On Fisher's Information Matrix of an ARMA Process/A. Klein and P. Spreij Statistical Analysis of Nonlinear and NonGaussian Time Series/T.S. Rao Bilinear Stochastic Systems with Long Range Dependance in Continous Time/E. Iglói and Gy. Terdik On Support Theorems for Stochastic Nonlinear Partial Differential Equations/K. Twardowska Excitation and Performance in Continuous-time Stochastic Adaptive LQ-control/Z.S. Vagó Invariant Measures for Diffusion Processes in Conuclear Spaces/J. Xiong Degree Theory on Wiener Space and an Application to a Class of SPDEs/ A.S. UEstuenel and M. Zakai On the Interacting Measure-Valued Branching Processes/X. -L. Zhao

## Proceedings of the Eighth International Conference on Difference Equations and Applications

Author | : Saber N. Elaydi,G. Ladas,Bernd Aulbach,Ondrej Dosly |

Publsiher | : CRC Press |

Total Pages | : 304 |

Release | : 2005-04-29 |

ISBN 10 | : 9781420034905 |

ISBN 13 | : 1420034901 |

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

**Proceedings of the Eighth International Conference on Difference Equations and Applications Book Review:**

The Eighth International Conference on Difference Equations and Applications was held at Masaryk University in Brno, Czech Republic. This volume comprises refereed papers presented at this conference. These papers cover all important themes, conjectures, and open problems in the fields of discrete dynamical systems and ordinary and partial difference equations, classical and contemporary, theoretical and applied.

## Difference and Differential Equations

Author | : Saber Elaydi |

Publsiher | : American Mathematical Soc. |

Total Pages | : 438 |

Release | : |

ISBN 10 | : 9780821871461 |

ISBN 13 | : 0821871463 |

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

**Difference and Differential Equations Book Review:**

This volume contains papers from the 7th International Conference on Difference Equations held at Hunan University (Changsa, China), a satellite conference of ICM2002 Beijing. The volume captures the spirit of the meeting and includes peer-reviewed survey papers, research papers, and open problems and conjectures. Articles cover stability, oscillation, chaos, symmetries, boundary value problems and bifurcations for discrete dynamical systems, difference-differential equations, and discretization of continuous systems. The book presents state-of-the-art research in these important areas. It is suitable for graduate students and researchers in difference equations and related topics.

## Proceedings of the Conference on Differential Difference Equations and Applications

Author | : Ravi P. Agarwal,Kanishka Perera |

Publsiher | : Hindawi Publishing Corporation |

Total Pages | : 1237 |

Release | : 2006 |

ISBN 10 | : 9789775945389 |

ISBN 13 | : 9775945380 |

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

**Proceedings of the Conference on Differential Difference Equations and Applications Book Review:**

## Well Posedness of Parabolic Difference Equations

Author | : A. Ashyralyev,P.E. Sobolevskii |

Publsiher | : Birkhäuser |

Total Pages | : 353 |

Release | : 2012-12-06 |

ISBN 10 | : 3034885180 |

ISBN 13 | : 9783034885188 |

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

**Well Posedness of Parabolic Difference Equations Book Review:**

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 of difference operators in Banach spaces, which allows one to deal with difference schemes of arbitrary order of accuracy. Establishing coercivity inequalities allows one to obtain sharp, that is, two-sided estimates of convergence rates. The proofs are based on results in interpolation theory of linear operators. This monograph will be of value to professional mathematicians as well as advanced students interested in the fields of functional analysis and partial differential equations.

## Infinite Horizon Optimal Control in the Discrete Time Framework

Author | : Joël Blot,Naïla Hayek |

Publsiher | : Springer Science & Business Media |

Total Pages | : 126 |

Release | : 2013-11-08 |

ISBN 10 | : 1461490383 |

ISBN 13 | : 9781461490388 |

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

**Infinite Horizon Optimal Control in the Discrete Time Framework Book Review:**

In this book the authors take a rigorous look at the infinite-horizon discrete-time optimal control theory from the viewpoint of Pontryagin’s principles. Several Pontryagin principles are described which govern systems and various criteria which define the notions of optimality, along with a detailed analysis of how each Pontryagin principle relate to each other. The Pontryagin principle is examined in a stochastic setting and results are given which generalize Pontryagin’s principles to multi-criteria problems. Infinite-Horizon Optimal Control in the Discrete-Time Framework is aimed toward researchers and PhD students in various scientific fields such as mathematics, applied mathematics, economics, management, sustainable development (such as, of fisheries and of forests), and Bio-medical sciences who are drawn to infinite-horizon discrete-time optimal control problems.

## One Parameter Semigroups for Linear Evolution Equations

Author | : Klaus-Jochen Engel,Rainer Nagel |

Publsiher | : Springer Science & Business Media |

Total Pages | : 589 |

Release | : 1999-10-29 |

ISBN 10 | : 0387984631 |

ISBN 13 | : 9780387984636 |

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

**One Parameter Semigroups for Linear Evolution Equations Book Review:**

This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.

## Modern Nonlinear Equations

Author | : Thomas L. Saaty |

Publsiher | : Courier Corporation |

Total Pages | : 496 |

Release | : 2012-04-26 |

ISBN 10 | : 0486143767 |

ISBN 13 | : 9780486143767 |

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

**Modern Nonlinear Equations Book Review:**

Covers major types of classical equations: operator, functional, difference, integro-differential, and more. Suitable for graduate students as well as scientists, technologists, and mathematicians. "A welcome contribution." — Math Reviews. 1964 edition.

## Mathematics of the USSR

Author | : Anonim |

Publsiher | : Anonim |

Total Pages | : 329 |

Release | : 1978 |

ISBN 10 | : |

ISBN 13 | : UCAL:B4483079 |

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

**Mathematics of the USSR Book Review:**

## Numerical analytic Methods in the Theory of Boundary value Problems

Author | : Nikola? Iosifovich Ronto,Anatoli? Mikha?lovich Samo?lenko |

Publsiher | : World Scientific |

Total Pages | : 455 |

Release | : 2000 |

ISBN 10 | : 9789810236762 |

ISBN 13 | : 981023676X |

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

**Numerical analytic Methods in the Theory of Boundary value Problems Book Review:**

This book contains the main results of the authors' investigations on the development and application of numerical-analytic methods for ordinary nonlinear boundary value problems (BVPs). The methods under consideration provide an opportunity to solve the two important problems of the BVP theory ? namely, to establish existence theorems and to build approximation solutions. They can be used to investigate a wide variety of BVPs.The Appendix, written in collaboration with S I Trofimchuk, discusses the connection of the new method with the classical Cesari, Cesari-Hale and Lyapunov-Schmidt methods.

## New Difference Schemes for Partial Differential Equations

Author | : Allaberen Ashyralyev,Pavel E. Sobolevskii |

Publsiher | : Springer Science & Business Media |

Total Pages | : 446 |

Release | : 2004-06-25 |

ISBN 10 | : 9783764370541 |

ISBN 13 | : 3764370548 |

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

**New Difference Schemes for Partial Differential Equations Book Review:**

This book explores new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for PDEs. The construction is based on the exact difference scheme and Taylor's decomposition on the two or three points, which permits investigation of differential equations with variable coefficients and regular and singular perturbation boundary value problems.

## Functional Analysis Sobolev Spaces and Partial Differential Equations

Author | : Haim Brezis |

Publsiher | : Springer Science & Business Media |

Total Pages | : 600 |

Release | : 2010-11-02 |

ISBN 10 | : 0387709142 |

ISBN 13 | : 9780387709147 |

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

**Functional Analysis Sobolev Spaces and Partial Differential Equations Book Review:**

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

## Proceedings of the Bakuriani Colloquium in Honour of Yu V Prohorov

Author | : Vâčeslav Viktorovič Sazonov,T. L. Shervashidze |

Publsiher | : VSP |

Total Pages | : 702 |

Release | : 1991 |

ISBN 10 | : 9789067641333 |

ISBN 13 | : 9067641332 |

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

**Proceedings of the Bakuriani Colloquium in Honour of Yu V Prohorov Book Review:**