Differential Equations Difference Equations And Matrix Theory

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Differential Equations, Difference Equations and Matrix Theory

Author : Peter Do Lax
Publisher : Forgotten Books
Page : 53 pages
File Size : 46,5 Mb
Release : 2015-06-17
Category : Mathematics
ISBN : 1330134052

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Differential Equations, Difference Equations and Matrix Theory by Peter Do Lax Pdf

Excerpt from Differential Equations, Difference Equations and Matrix Theory This report was prepared as an account of Government sponsored work. Neither the United States, nor the Commission, nor any person acting on behalf of the Commission: A. Makes any warranty or representation, express or implied, with respect to the accuracy, completeness, or usefulness of the information contained in this report, or that the use of any information, apparatus, method, or process disclosed in this report may not infringe privately owned rights; or B. Assumes any liabilities with respect to the use of, or for damages resulting from the use of any information, apparatus, method, or process disclosed in this report. As used in the above, "person acting on behalf of the Commission" includes any employee or contractor of the Commission to the extent that such employee or contractor prepares, handles or distributes, or provides access to, any information pursuant to his employment or contract with the Commission. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Differential Equations, Difference Equations and Matrix Theory

Author : Peter D Lax
Publisher : Andesite Press
Page : 48 pages
File Size : 49,8 Mb
Release : 2015-08-08
Category : Electronic
ISBN : 129857515X

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Differential Equations, Difference Equations and Matrix Theory by Peter D Lax Pdf

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Difference Equations and Inequalities

Author : Ravi P. Agarwal
Publisher : CRC Press
Page : 1010 pages
File Size : 48,8 Mb
Release : 2000-01-27
Category : Mathematics
ISBN : 1420027026

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Difference Equations and Inequalities by Ravi P. Agarwal Pdf

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

Discrete Hamiltonian Systems

Author : Calvin Ahlbrandt,A.C. Peterson
Publisher : Springer Science & Business Media
Page : 384 pages
File Size : 42,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475724677

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Discrete Hamiltonian Systems by Calvin Ahlbrandt,A.C. Peterson Pdf

This book should be accessible to students who have had a first course in matrix theory. The existence and uniqueness theorem of Chapter 4 requires the implicit function theorem, but we give a self-contained constructive proof ofthat theorem. The reader willing to accept the implicit function theorem can read the book without an advanced calculus background. Chapter 8 uses the Moore-Penrose pseudo-inverse, but is accessible to students who have facility with matrices. Exercises are placed at those points in the text where they are relevant. For U. S. universities, we intend for the book to be used at the senior undergraduate level or beginning graduate level. Chapter 2, which is on continued fractions, is not essential to the material of the remaining chapters, but is intimately related to the remaining material. Continued fractions provide closed form representations of the extreme solutions of some discrete matrix Riccati equations. Continued fractions solution methods for Riccati difference equations provide an approach analogous to series solution methods for linear differential equations. The book develops several topics which have not been available at this level. In particular, the material of the chapters on continued fractions (Chapter 2), symplectic systems (Chapter 3), and discrete variational theory (Chapter 4) summarize recent literature. Similarly, the material on transforming Riccati equations presented in Chapter 3 gives a self-contained unification of various forms of Riccati equations. Motivation for our approach to difference equations came from the work of Harris, Vaughan, Hartman, Reid, Patula, Hooker, Erbe & Van, and Bohner.

Difference Equations

Author : Walter G. Kelley,Allan C. Peterson
Publisher : Academic Press
Page : 418 pages
File Size : 45,6 Mb
Release : 2001
Category : Mathematics
ISBN : 012403330X

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Difference Equations by Walter G. Kelley,Allan C. Peterson Pdf

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

Ordinary Differential Equations

Author : Jane Cronin
Publisher : CRC Press
Page : 408 pages
File Size : 55,6 Mb
Release : 2007-12-14
Category : Mathematics
ISBN : 9781420014938

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Ordinary Differential Equations by Jane Cronin Pdf

Designed for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as more advanced topics in periodic solutions of

Differential-Difference Equations

Author : Bellman
Publisher : Academic Press
Page : 484 pages
File Size : 46,5 Mb
Release : 1963-01-01
Category : Mathematics
ISBN : 9780080955148

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Differential-Difference Equations by Bellman Pdf

Differential-Difference Equations

Introduction to Difference Equations

Author : Samuel Goldberg
Publisher : Courier Corporation
Page : 292 pages
File Size : 47,9 Mb
Release : 1986-01-01
Category : Mathematics
ISBN : 9780486650845

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Introduction to Difference Equations by Samuel Goldberg Pdf

Exceptionally clear exposition of an important mathematical discipline and its applications to sociology, economics, and psychology. Topics include calculus of finite differences, difference equations, matrix methods, and more. 1958 edition.

Theory Of Difference Equations Numerical Methods And Applications

Author : V. Lakshmikantham,Donato Trigiante
Publisher : CRC Press
Page : 294 pages
File Size : 47,6 Mb
Release : 2002-06-12
Category : Mathematics
ISBN : 9780824744243

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Theory Of Difference Equations Numerical Methods And Applications by V. Lakshmikantham,Donato Trigiante Pdf

"Provides a clear and comprehensive overview of the fundamental theories, numerical methods, and iterative processes encountered in difference calculus. Explores classical problems such as orthological polynomials, the Euclidean algorithm, roots of polynomials, and well-conditioning."

New Developments in Difference Equations and Applications

Author : SuiSun Cheng
Publisher : Routledge
Page : 380 pages
File Size : 46,5 Mb
Release : 2017-09-29
Category : Mathematics
ISBN : 9781351428811

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New Developments in Difference Equations and Applications by SuiSun Cheng Pdf

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.

Stochastic Differential and Difference Equations

Author : Imre Csiszar,Gy. Michaletzky
Publisher : Springer Science & Business Media
Page : 358 pages
File Size : 46,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461219804

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Stochastic Differential and Difference Equations by Imre Csiszar,Gy. Michaletzky Pdf

Qualitative Theory of Volterra Difference Equations

Author : Youssef N. Raffoul
Publisher : Springer
Page : 324 pages
File Size : 52,7 Mb
Release : 2018-09-12
Category : Mathematics
ISBN : 9783319971902

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Qualitative Theory of Volterra Difference Equations by Youssef N. Raffoul Pdf

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 throughout. This book will be of use as a primary reference to researchers and graduate students who are interested in the study of boundedness of solutions, the stability of the zero solution, or in the existence of periodic solutions using Lyapunov functionals and the notion of fixed point theory.

Asymptotic Integration of Differential and Difference Equations

Author : Sigrun Bodine,Donald A. Lutz
Publisher : Springer
Page : 402 pages
File Size : 41,6 Mb
Release : 2015-05-26
Category : Mathematics
ISBN : 9783319182483

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Asymptotic Integration of Differential and Difference Equations by Sigrun Bodine,Donald A. Lutz Pdf

This book presents the theory of asymptotic integration for both linear differential and difference equations. This type of asymptotic analysis is based on some fundamental principles by Norman Levinson. While he applied them to a special class of differential equations, subsequent work has shown that the same principles lead to asymptotic results for much wider classes of differential and also difference equations. After discussing asymptotic integration in a unified approach, this book studies how the application of these methods provides several new insights and frequent improvements to results found in earlier literature. It then continues with a brief introduction to the relatively new field of asymptotic integration for dynamic equations on time scales. Asymptotic Integration of Differential and Difference Equations is a self-contained and clearly structured presentation of some of the most important results in asymptotic integration and the techniques used in this field. It will appeal to researchers in asymptotic integration as well to non-experts who are interested in the asymptotic analysis of linear differential and difference equations. It will additionally be of interest to students in mathematics, applied sciences, and engineering. Linear algebra and some basic concepts from advanced calculus are prerequisites.

An Introduction to Difference Equations

Author : Saber Elaydi
Publisher : Springer Science & Business Media
Page : 547 pages
File Size : 40,5 Mb
Release : 2005-03-29
Category : Mathematics
ISBN : 9780387230597

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An Introduction to Difference Equations by Saber Elaydi Pdf

A must-read for mathematicians, scientists and engineers who want to understand difference equations and discrete dynamics Contains the most complete and comprehenive analysis of the stability of one-dimensional maps or first order difference equations. Has an extensive number of applications in a variety of fields from neural network to host-parasitoid systems. Includes chapters on continued fractions, orthogonal polynomials and asymptotics. Lucid and transparent writing style