Differential-Difference Equations
Author: Bellman
Publisher: Academic Press
Published: 1963-01-01
Total Pages: 484
ISBN-13: 0080955142
DOWNLOAD EBOOKDifferential-Difference Equations
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Difference Equations, Second Edition
Author: R Mickens
Publisher: CRC Press
Published: 1991-01-01
Total Pages: 470
ISBN-13: 9780442001360
DOWNLOAD EBOOKIn 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.
Introduction to Difference Equations
Author: Samuel Goldberg
Publisher: Courier Corporation
Published: 1986-01-01
Total Pages: 292
ISBN-13: 0486650847
DOWNLOAD EBOOKExceptionally 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.
Difference Equations
Author: Walter G. Kelley
Publisher: Academic Press
Published: 2001
Total Pages: 418
ISBN-13: 9780124033306
DOWNLOAD EBOOKDifference 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
Modelling with Differential and Difference Equations
Author: Glenn Fulford
Publisher: Cambridge University Press
Published: 1997-06-12
Total Pages: 420
ISBN-13: 9780521446181
DOWNLOAD EBOOKAny student wishing to solve problems via mathematical modelling will find that this book provides an excellent introduction to the subject.
Difference Equations by Differential Equation Methods
Author: Peter E. Hydon
Publisher: Cambridge University Press
Published: 2014-08-07
Total Pages: 223
ISBN-13: 0521878527
DOWNLOAD EBOOKStraightforward introduction for non-specialists and experts alike. Explains how to derive solutions, first integrals and conservation laws of difference equations.
An Introduction to Difference Equations
Author: Saber N. Elaydi
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 441
ISBN-13: 1475731108
DOWNLOAD EBOOKIntegrating 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.
Finite Difference Equations
Author: Hyman Levy
Publisher: Courier Corporation
Published: 1992-01-01
Total Pages: 306
ISBN-13: 0486672603
DOWNLOAD EBOOKComprehensive study focuses on use of calculus of finite differences as an approximation method for solving troublesome differential equations. Elementary difference operations; interpolation and extrapolation; modes of expansion of the solutions of nonlinear equations, applications of difference equations, difference equations associated with functions of two variables, more. Exercises with answers. 1961 edition.
Asymptotic Integration of Differential and Difference Equations
Author: Sigrun Bodine
Publisher: Springer
Published: 2015-05-26
Total Pages: 411
ISBN-13: 331918248X
DOWNLOAD EBOOKThis 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.
Differential/Difference Equations
Author: Ioannis Dassios
Publisher: Mdpi AG
Published: 2021-11-30
Total Pages: 286
ISBN-13: 9783036523873
DOWNLOAD EBOOKThe study of oscillatory phenomena is an important part of the theory of differential equations. Oscillations naturally occur in virtually every area of applied science including, e.g., mechanics, electrical, radio engineering, and vibrotechnics. This Special Issue includes 19 high-quality papers with original research results in theoretical research, and recent progress in the study of applied problems in science and technology. This Special Issue brought together mathematicians with physicists, engineers, as well as other scientists. Topics covered in this issue: Oscillation theory; Differential/difference equations; Partial differential equations; Dynamical systems; Fractional calculus; Delays; Mathematical modeling and oscillations.
