# Download Ebook Free Difference Equations In Normed Spaces

## Difference Equations in Normed Spaces

Publisher : Elsevier

Release Date : 2007-01-08

Category : Mathematics

Total pages :378

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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

Publisher : Springer

Release Date : 2014-06-13

Category : Mathematics

Total pages :208

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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.

## Partial Difference Equations

Publisher : CRC Press

Release Date : 2003-02-06

Category : Mathematics

Total pages :288

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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.

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

Publisher : World Scientific

Release Date : 2013-05-03

Category : Mathematics

Total pages :408

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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. Contents:Reducibility Problems for Difference EquationsInvariant Tori of Difference Equations in the Space MPeriodic Solutions of Difference Equations. Extention of SolutionsCountable-Point Boundary-Value Problems for Nonlinear Differential Equations Readership: Graduate students and researchers working in the field of analysis and differential equations. Keywords:Differencial Equations;Difference Equations;Invariant Tori;Bounded Number Sequences;Banach Spaces;Periodic Solutions;ReducibilityKey Features:New theoretical results, complete with proofsTheory developed for equations in infinite-dimensional spacesWritten by leading specialists in the fieldReviews: “The chapters are written so that they are almost independent of each other. The present monograph is helpful to specialists who are concerned with the relevant mathematical problems.” Zentralblatt MATH

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

Publisher : CRC Press

Release Date : 2019-03-15

Category : Mathematics

Total pages :450

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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.

## Techniques of Functional Analysis for Differential and Integral Equations

Publisher : Academic Press

Release Date : 2017-05-16

Category : Mathematics

Total pages :320

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Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations and partial differential equations. Knowledge of these techniques is particularly useful as preparation for graduate courses and PhD research in differential equations and numerical analysis, and more specialized topics such as fluid dynamics and control theory. Striking a balance between mathematical depth and accessibility, proofs involving more technical aspects of measure and integration theory are avoided, but clear statements and precise alternative references are given . The work provides many examples and exercises drawn from the literature. Provides an introduction to mathematical techniques widely used in applied mathematics and needed for advanced research in ordinary and partial differential equations, integral equations, numerical analysis, fluid dynamics and other areas Establishes the advanced background needed for sophisticated literature review and research in differential equations and integral equations Suitable for use as a textbook for a two semester graduate level course for M.S. and Ph.D. students in Mathematics and Applied Mathematics

## U.S. Government Research Reports

Publisher : Unknown

Release Date : 1964

Category : Industrial arts

Total pages :129

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## Mathematics of the USSR.

Publisher : Unknown

Release Date : 1978

Category : American periodicals

Total pages :129

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## Topological Methods for Differential Equations and Inclusions

Publisher : CRC Press

Release Date : 2018-09-25

Category : Mathematics

Total pages :360

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Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove existence theorems in optimal control theory. Since the dynamics of economic, social, and biological systems are multi-valued, differential inclusions serve as natural models in macro systems with hysteresis.

## Scientific and Technical Aerospace Reports

Publisher : Unknown

Release Date : 1970

Category : Aeronautics

Total pages :129

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## Functional Analysis, Sobolev Spaces and Partial Differential Equations

Publisher : Springer Science & Business Media

Release Date : 2010-11-02

Category : Mathematics

Total pages :600

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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.

## Well-Posedness of Parabolic Difference Equations

Publisher : Birkhäuser

Release Date : 2012-12-06

Category : Mathematics

Total pages :353

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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.

## Colloquium on Differential and Difference Equations

Publisher : Unknown

Release Date : 2003

Category : Difference equations

Total pages :304

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## Annals of Differential Equations

Publisher : Unknown

Release Date : 2000

Category : Differential equations

Total pages :129

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## Mathematical Reviews

Publisher : Unknown

Release Date : 2005

Category : Mathematics

Total pages :129

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