Difference Equations And Their Applications

Download Difference Equations And Their Applications full books in PDF, epub, and Kindle. Read online Difference Equations And Their Applications ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Difference Equations and Their Applications

Author : A.N. Sharkovsky
Publisher : Springer Science & Business Media
ISBN 13 : 9401117632
Total Pages : 365 pages
Book Rating : 4.4/5 (11 download)

DOWNLOAD NOW!

Book Synopsis Difference Equations and Their Applications by : A.N. Sharkovsky

Download or read book Difference Equations and Their Applications written by A.N. Sharkovsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of difference equations is now enjoying a period of Renaissance. Witness the large number of papers in which problems, having at first sight no common features, are reduced to the investigation of subsequent iterations of the maps f· IR. m ~ IR. m, m > 0, or (which is, in fact, the same) to difference equations The world of difference equations, which has been almost hidden up to now, begins to open in all its richness. Those experts, who usually use differential equations and, in fact, believe in their universality, are now discovering a completely new approach which re sembles the theory of ordinary differential equations only slightly. Difference equations, which reflect one of the essential properties of the real world-its discreteness-rightful ly occupy a worthy place in mathematics and its applications. The aim of the present book is to acquaint the reader with some recently discovered and (at first sight) unusual properties of solutions for nonlinear difference equations. These properties enable us to use difference equations in order to model complicated os cillating processes (this can often be done in those cases when it is difficult to apply ordinary differential equations). Difference equations are also a useful tool of syn ergetics- an emerging science concerned with the study of ordered structures. The application of these equations opens up new approaches in solving one of the central problems of modern science-the problem of turbulence.

Difference Equations, Second Edition

Author : R Mickens
Publisher : CRC Press
ISBN 13 : 9780442001360
Total Pages : 470 pages
Book Rating : 4.0/5 (13 download)

DOWNLOAD NOW!

Book Synopsis Difference Equations, Second Edition by : R Mickens

Download or read book Difference Equations, Second Edition written by R Mickens and published by CRC Press. This book was released on 1991-01-01 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic chaos. The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs. The text treats the case of first-order difference equations in detail, using both analytical and geometrical methods. Both ordinary and partial difference equations are considered, along with a variety of special nonlinear forms for which exact solutions can be determined. Numerous worked examples and problems allow readers to fully understand the material in the text. They also give possible generalization of the theorems and application models. The text's expanded coverage of application helps readers appreciate the benefits of using difference equations in the modeling and analysis of "realistic" problems from a broad range of fields. The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences. Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research literature. Reference to original literature show how the elementary models of the book can be extended to more realistic situations. Difference Equations, Second Edition gives readers a background in discrete mathematics that many workers in science-oriented industries need as part of their general scientific knowledge. With its minimal mathematical background requirements of general algebra and calculus, this unique volume will be used extensively by students and professional in science and technology, in areas such as applied mathematics, control theory, population science, economics, and electronic circuits, especially discrete signal processing.

Differential Equations and Their Applications

Author : M. Braun
Publisher : Springer Science & Business Media
ISBN 13 : 1475749694
Total Pages : 733 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!

Book Synopsis Differential Equations and Their Applications by : M. Braun

Download or read book Differential Equations and Their Applications written by M. Braun and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the past several years the Division of Applied Mathematics at Brown University has been teaching an extremely popular sophomore level differential equations course. The immense success of this course is due primarily to two fac tors. First, and foremost, the material is presented in a manner which is rigorous enough for our mathematics and ap plied mathematics majors, but yet intuitive and practical enough for our engineering, biology, economics, physics and geology majors. Secondly, numerous case histories are given of how researchers have used differential equations to solve real life problems. This book is the outgrowth of this course. It is a rigorous treatment of differential equations and their appli cations, and can be understood by anyone who has had a two semester course in Calculus. It contains all the material usually covered in a one or two semester course in differen tial equations. In addition, it possesses the following unique features which distinguish it from other textbooks on differential equations.

An Introduction to Differential Equations and Their Applications

Author : Stanley J. Farlow
Publisher : Courier Corporation
ISBN 13 : 0486135136
Total Pages : 642 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Differential Equations and Their Applications by : Stanley J. Farlow

Download or read book An Introduction to Differential Equations and Their Applications written by Stanley J. Farlow and published by Courier Corporation. This book was released on 2012-10-23 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.

Difference Equations

Author : Walter G. Kelley
Publisher : Academic Press
ISBN 13 : 9780124033306
Total Pages : 418 pages
Book Rating : 4.0/5 (333 download)

DOWNLOAD NOW!

Book Synopsis Difference Equations by : Walter G. Kelley

Download or read book Difference Equations written by Walter G. Kelley and published by Academic Press. This book was released on 2001 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics. Phase plane analysis for systems of two linear equations Use of equations of variation to approximate solutions Fundamental matrices and Floquet theory for periodic systems LaSalle invariance theorem Additional applications: secant line method, Bison problem, juvenile-adult population model, probability theory Appendix on the use of Mathematica for analyzing difference equaitons Exponential generating functions Many new examples and exercises

Partial Difference Equations

Author : Sui Sun Cheng
Publisher : CRC Press
ISBN 13 : 9780415298841
Total Pages : 284 pages
Book Rating : 4.2/5 (988 download)

DOWNLOAD NOW!

Book Synopsis Partial Difference Equations by : Sui Sun Cheng

Download or read book Partial Difference Equations written by Sui Sun Cheng and published by CRC Press. This book was released on 2003-02-06 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Classification and Examples of Differential Equations and their Applications

Author : Luis Manuel Braga da Costa Campos
Publisher : CRC Press
ISBN 13 : 0429595158
Total Pages : 261 pages
Book Rating : 4.4/5 (295 download)

DOWNLOAD NOW!

Book Synopsis Classification and Examples of Differential Equations and their Applications by : Luis Manuel Braga da Costa Campos

Download or read book Classification and Examples of Differential Equations and their Applications written by Luis Manuel Braga da Costa Campos and published by CRC Press. This book was released on 2019-11-05 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classification and Examples of Differential Equations and their Applications is the sixth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This sixth book consists of one chapter (chapter 10 of the set). It contains 20 examples related to the preceding five books and chapters 1 to 9 of the set. It includes two recollections: the first with a classification of differential equations into 500 standards and the second with a list of 500 applications. The ordinary differential equations are classified in 500 standards concerning methods of solution and related properties, including: (i) linear differential equations with constant or homogeneous coefficients and finite difference equations; (ii) linear and non-linear single differential equations and simultaneous systems; (iii) existence, unicity and other properties; (iv) derivation of general, particular, special, analytic, regular, irregular, and normal integrals; (v) linear differential equations with variable coefficients including known and new special functions. The theory of differential equations is applied to the detailed solution of 500 physical and engineering problems including: (i) one- and multidimensional oscillators, with damping or amplification, with non-resonant or resonant forcing; (ii) single, non-linear, and parametric resonance; (iii) bifurcations and chaotic dynamical systems; (iv) longitudinal and transversal deformations and buckling of bars, beams, and plates; (v) trajectories of particles; (vi) oscillations and waves in non-uniform media, ducts, and wave guides. Provides detailed solution of examples of differential equations of the types covered in tomes l-5 of the set (Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six -volume Set) Includes physical and engineering problems that extend those presented in the tomes 1-6 (Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set) Includes a classification of ordinary differential equations and their properties into 500 standards that can serve as a look-up table of methods of solution Covers a recollection of 500 physical and engineering problems and sub-cases that involve the solution of differential equations Presents the problems used as examples including formulation, solution, and interpretation of results

Applications of Lie Groups to Difference Equations

Author : Vladimir Dorodnitsyn
Publisher : CRC Press
ISBN 13 : 9781420083101
Total Pages : 344 pages
Book Rating : 4.0/5 (831 download)

DOWNLOAD NOW!

Book Synopsis Applications of Lie Groups to Difference Equations by : Vladimir Dorodnitsyn

Download or read book Applications of Lie Groups to Difference Equations written by Vladimir Dorodnitsyn and published by CRC Press. This book was released on 2010-12-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. A guide to methods

Difference Equations and Inequalities

Author : Ravi P. Agarwal
Publisher : CRC Press
ISBN 13 : 9781420027020
Total Pages : 1010 pages
Book Rating : 4.0/5 (27 download)

DOWNLOAD NOW!

Book Synopsis Difference Equations and Inequalities by : Ravi P. Agarwal

Download or read book Difference Equations and Inequalities written by Ravi P. Agarwal and published by CRC Press. This book was released on 2000-01-27 with total page 1010 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and

Elementary Differential Equations with Boundary Value Problems

Author : William F. Trench
Publisher : Thomson Brooks/Cole
ISBN 13 :
Total Pages : 766 pages
Book Rating : 4.:/5 (321 download)

DOWNLOAD NOW!

Book Synopsis Elementary Differential Equations with Boundary Value Problems by : William F. Trench

Download or read book Elementary Differential Equations with Boundary Value Problems written by William F. Trench and published by Thomson Brooks/Cole. This book was released on 2001 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a clear and accurate language that students can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a conversational style that engages students. He includes more than 250 illustrated, worked examples for easy reading and comprehension. One of the book's many strengths is its problems, which are of consistently high quality. Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow instructors to select the level of technology desired. This has been simplified by using symbols, C and L, to designate the level of technology. C problems call for computations and/or graphics, while L problems are laboratory exercises that require extensive use of technology. Informal advice on the use of technology is included in several sections and instructors who prefer not to emphasize technology can ignore these exercises without interrupting the flow of material.

Differential and Difference Equations with Applications

Author : Sandra Pinelas
Publisher : Springer Science & Business Media
ISBN 13 : 1461473330
Total Pages : 665 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!

Book Synopsis Differential and Difference Equations with Applications by : Sandra Pinelas

Download or read book Differential and Difference Equations with Applications written by Sandra Pinelas and published by Springer Science & Business Media. This book was released on 2013-09-21 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Difference Equations

Author : Saber N. Elaydi
Publisher : Springer Science & Business Media
ISBN 13 : 1475731108
Total Pages : 441 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Difference Equations by : Saber N. Elaydi

Download or read book An Introduction to Difference Equations written by Saber N. Elaydi and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrating both classical and modern treatments of difference equations, this book contains the most updated and comprehensive material on stability, Z-transform, discrete control theory, asymptotic theory, continued fractions and orthogonal polynomials. While the presentation is simple enough for use by advanced undergraduates and beginning graduates in mathematics, engineering science, and economics, it will also be a useful reference for scientists and engineers interested in discrete mathematical models. The text covers a large set of applications in a variety of disciplines, including neural networks, feedback control, Markov chains, trade models, heat transfer, propagation of plants, epidemic models and host-parasitoid systems, with each section rounded off by an extensive and highly selected set of exercises.

Difference and Differential Equations with Applications in Queueing Theory

Author : Aliakbar Montazer Haghighi
Publisher : John Wiley & Sons
ISBN 13 : 1118393244
Total Pages : 418 pages
Book Rating : 4.1/5 (183 download)

DOWNLOAD NOW!

Book Synopsis Difference and Differential Equations with Applications in Queueing Theory by : Aliakbar Montazer Haghighi

Download or read book Difference and Differential Equations with Applications in Queueing Theory written by Aliakbar Montazer Haghighi and published by John Wiley & Sons. This book was released on 2013-07-10 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Useful Guide to the Interrelated Areas of Differential Equations, Difference Equations, and Queueing Models Difference and Differential Equations with Applications in Queueing Theory presents the unique connections between the methods and applications of differential equations, difference equations, and Markovian queues. Featuring a comprehensive collection of topics that are used in stochastic processes, particularly in queueing theory, the book thoroughly discusses the relationship to systems of linear differential difference equations. The book demonstrates the applicability that queueing theory has in a variety of fields including telecommunications, traffic engineering, computing, and the design of factories, shops, offices, and hospitals. Along with the needed prerequisite fundamentals in probability, statistics, and Laplace transform, Difference and Differential Equations with Applications in Queueing Theory provides: A discussion on splitting, delayed-service, and delayed feedback for single-server, multiple-server, parallel, and series queue models Applications in queue models whose solutions require differential difference equations and generating function methods Exercises at the end of each chapter along with select answers The book is an excellent resource for researchers and practitioners in applied mathematics, operations research, engineering, and industrial engineering, as well as a useful text for upper-undergraduate and graduate-level courses in applied mathematics, differential and difference equations, queueing theory, probability, and stochastic processes.

Global Behavior of Nonlinear Difference Equations of Higher Order with Applications

Author : V.L. Kocic
Publisher : Springer Science & Business Media
ISBN 13 : 9401717036
Total Pages : 237 pages
Book Rating : 4.4/5 (17 download)

DOWNLOAD NOW!

Book Synopsis Global Behavior of Nonlinear Difference Equations of Higher Order with Applications by : V.L. Kocic

Download or read book Global Behavior of Nonlinear Difference Equations of Higher Order with Applications written by V.L. Kocic and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear difference equations of order greater than one are of paramount impor tance in applications where the (n + 1)st generation (or state) of the system depends on the previous k generations (or states). Such equations also appear naturally as discrete analogues and as numerical solutions of differential and delay differential equations which model various diverse phenomena in biology, ecology, physiology, physics, engineering and economics. Our aim in this monograph is to initiate a systematic study of the global behavior of solutions of nonlinear scalar difference equations of order greater than one. Our primary concern is to study the global asymptotic stability of the equilibrium solution. We are also interested in whether the solutions are bounded away from zero and infinity, in the description of the semi cycles of the solutions, and in the existence of periodic solutions. This monograph contains some recent important developments in this area together with some applications to mathematical biology. Our intention is to expose the reader to the frontiers of the subject and to formulate some important open problems that require our immediate attention.

Advanced Topics in Difference Equations

Author : R.P. Agarwal
Publisher : Springer Science & Business Media
ISBN 13 : 9401588996
Total Pages : 517 pages
Book Rating : 4.4/5 (15 download)

DOWNLOAD NOW!

Book Synopsis Advanced Topics in Difference Equations by : R.P. Agarwal

Download or read book Advanced Topics in Difference Equations written by R.P. Agarwal and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: . The theory of difference equations, the methods used in their solutions and their wide applications have advanced beyond their adolescent stage to occupy a central position in Applicable Analysis. In fact, in the last five years, the proliferation of the subject is witnessed by hundreds of research articles and several monographs, two International Conferences and numerous Special Sessions, and a new Journal as well as several special issues of existing journals, all devoted to the theme of Difference Equations. Now even those experts who believe in the universality of differential equations are discovering the sometimes striking divergence between the continuous and the discrete. There is no doubt that the theory of difference equations will continue to play an important role in mathematics as a whole. In 1992, the first author published a monograph on the subject entitled Difference Equations and Inequalities. This book was an in-depth survey of the field up to the year of publication. Since then, the subject has grown to such an extent that it is now quite impossible for a similar survey, even to cover just the results obtained in the last four years, to be written. In the present monograph, we have collected some of the results which we have obtained in the last few years, as well as some yet unpublished ones.

Differential Equations with Applications

Author : Paul D. Ritger
Publisher : Courier Corporation
ISBN 13 : 9780486411545
Total Pages : 580 pages
Book Rating : 4.4/5 (115 download)

DOWNLOAD NOW!

Book Synopsis Differential Equations with Applications by : Paul D. Ritger

Download or read book Differential Equations with Applications written by Paul D. Ritger and published by Courier Corporation. This book was released on 2000-01-01 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coherent, balanced introductory text focuses on initial- and boundary-value problems, general properties of linear equations, and the differences between linear and nonlinear systems. Includes large number of illustrative examples worked out in detail and extensive sets of problems. Answers or hints to most problems appear at end.

Differential Equations: Theory and Applications

Author : David Betounes
Publisher : Springer Science & Business Media
ISBN 13 : 1475749716
Total Pages : 686 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!

Book Synopsis Differential Equations: Theory and Applications by : David Betounes

Download or read book Differential Equations: Theory and Applications written by David Betounes and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical systems as important applications of the theory. The text is written to be used in the traditional way or in a more applied way. The accompanying CD contains Maple worksheets for the exercises, and special Maple code for performing various tasks. In addition to its use in a traditional one or two semester graduate course in mathematics, the book is organized to be used for interdisciplinary courses in applied mathematics, physics, and engineering.