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| Author | : Bellman |
| Publisher | : Academic Press |
| Total Pages | : 484 |
| Release | : 1963-01-01 |
| Genre | : Mathematics |
| ISBN | : 0080955142 |
Differential-Difference Equations
| Author | : Samuel Goldberg |
| Publisher | : Courier Corporation |
| Total Pages | : 292 |
| Release | : 1986-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486650847 |
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.
| Author | : R Mickens |
| Publisher | : CRC Press |
| Total Pages | : 470 |
| Release | : 1991-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780442001360 |
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.
| Author | : Saber N. Elaydi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 441 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 1475731108 |
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.
| Author | : Walter G. Kelley |
| Publisher | : Academic Press |
| Total Pages | : 418 |
| Release | : 2001 |
| Genre | : Mathematics |
| ISBN | : 9780124033306 |
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
| Author | : Glenn Fulford |
| Publisher | : Cambridge University Press |
| Total Pages | : 420 |
| Release | : 1997-06-12 |
| Genre | : Mathematics |
| ISBN | : 9780521446181 |
Any student wishing to solve problems via mathematical modelling will find that this book provides an excellent introduction to the subject.
| Author | : Hyman Levy |
| Publisher | : Courier Corporation |
| Total Pages | : 306 |
| Release | : 1992-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486672603 |
Comprehensive 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.
| Author | : R.P. Agarwal |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 517 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 9401588996 |
. 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.
| Author | : Sandra Pinelas |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 639 |
| Release | : 2013-09-21 |
| Genre | : Mathematics |
| ISBN | : 1461473330 |
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.
| Author | : Peter E. Hydon |
| Publisher | : Cambridge University Press |
| Total Pages | : 223 |
| Release | : 2014-08-07 |
| Genre | : Mathematics |
| ISBN | : 0521878527 |
Straightforward introduction for non-specialists and experts alike. Explains how to derive solutions, first integrals and conservation laws of difference equations.
